| The University of Texas at Austin | Social Sciences | B.S. | 1960 |
| The University of Texas at Austin | Mathematics | B.A. | 1960 |
| The University of Texas at Austin | Mathematics | M.A. | 1963 |
| Rice University | Mathematics | Ph.D. | 1971 |
Professional Engineer, State of Texas, 1999
Instructor, Department of Mathematics, Rice University, 1971-73
Assistant Professor, Department of Mathematical Sciences, Rice University, 1973-77
Associate Professor, Department of Mathematical Sciences, Rice University, 1977-80
Professor, Department of Mathematical Sciences, Rice, 1980-88
M.D. Anderson Professor of Mathematics, University of Houston, 1988-90
Noah Harding Professor of Computational and Applied Mathematics (formerly Mathematical
Sciences), Rice University, 1988-1995
Affiliated Senior Scientist, University of Houston, 1990-present
The Ernest and Virginia Cockrell Chair in Engineering, The University of Texas
at Austin, 1995-present
Professor, Department of Mathematics, The University of Texas at Austin, 1995-present
Professor, Aerospace Engineering and Engineering Mechanics, The University of
Texas at Austin, 1995-present
Professor, Petroleum and Geosystems Engineering, The University of Texas at
Austin, 1995-present
Chairman, Center for Research on Parallel Computation Geophysics Project, 1989-95
Director, Center for Processing of Porous Media, Rice University, 1990-95
Executive Committee, NSF Center for Research on Parallel Computation, 1993-99
Co-chair Physical Simulation, NSF Center for Research on Parallel Computation,
1994-99
Pacific Northwest National Laboratory Computational Science and Engineering
Initiative Advisory Committee
Functional Area Coordinator for Environmental Quality Modeling, DOD Performance
Evaluation Training, 1996-present
Member, Mathematical Association of America
Member, American Geophysical Union
Member, Society of Industrial and Applied Mathematics
Member, Society of Petroleum Engineers
Member, American Women in Mathematics
Professional Engineer, State of Texas, 1999
Member, Mathematical Association of America
Member, American Geophysical Union
Fellow, International Association for Computational Mechanics
Professional Society and Major Governmental Committees
Member, Society for Industrial and Applied Mathematics (SIAM) Council, 1982-88
Member, SIAM Science Board, 1982-03
Advisory Committee, Argonne National Laboratory, 1979-85
Member, National Science Foundation (NSF) Review Committees: New Technologies,
1987
Member, Advisory Committee, Division of Mathematical Sciences, NSF, 1988-91
Member, SIAM Board of Trustees, 1988-98
Member, American Mathematical Society (AMS) Science Board, 1989-93
Member, Organizing Committee SIAM Geosciences Meetings I, II, III, IV
Member, Advisory Committee, Oak Ridge National Laboratory, 1990-94
Member, National Science Board Committee on Graduate and Postgraduate Education,
1990-91
Chairman, SIAM Activity Group on Geosciences, 1991-95
Chairman, Advisory Committee, Division of Mathematical Sciences, NSF 1991
Chairman, NSF Institute for Mathematics and Its Applications, Conference on
Environment, July 1992
Member, Board of Mathematical Sciences, 1993-1996
Member, Engineering Advisory Board, University of Vermont, 1995-2003
Vice-Chair, SIAM Activity Group in Geosciences, 1995-98
Hydraulics Laboratory Review Committee, Army Corps of Engineers, Waterways Experiment
Station, Vicksburg, MS, August 1-22, 1996
Chairman, Review Committee on Computational Science, Army Research Office, February
26-27, 1997
NSF Engineering Proposal Review Committee, April 1998
SIAM Parallel Computation Committee, 1999
Member, Review Committee, National Energy Research Scientific Computing Center,
Lawrence Berkeley National Laboratory, 1999—2003
National Academy of Engineering Program Advisory Committee, 1998-2001
National Academy of Engineering Committee on Diversity, 2000-2001
Committee Member, NSF Institute for Mathematics and its Applications, Environmental/Natural
Resources Workshop, 2000
Member and Functional Area Point of Contact, Environmental Quality Modeling,
Technology Council for MOS Team, programming Environment and Training for DoD
HPC Modernization Program, 2001
National Academy of Engineering, Gordon Prize Committee, 2001
Committee Member, NSF Institute for Mathematics and its Applications, Geosciences
Workshop, 2002
Member, National Research Council Committee on Coping with Increasing Demands
on Government Data Centers, Spring 2002
Member, SciDAC (Scientific Discovery through Advanced Computing), DOE, Review
Committee, Washington D.C., May 12-15, 2003
Member, Scales Meeting, Washington D. C., June 23-25, 2003,
PNNL Computational Science and Engineering Initiative Review Committee, August
13-14, 2003
Member, DOE Multiscale Meeting Committee, Washington DC, May 3-5, 2004
Member, NSF ITR Meeting Committee, June 10-11, 2004
Member, Engineering Advisory Board, University of Vermont, 1995-05
Member, National Energy Research Scientific Computing Center Program Advisory
Committee, 1998-05
Member, Technical Advisory Committee, British Petroleum, London, 2002-05
Member, SIAM Science Board, 1982-05
Member, SIAM Third Computational Science and Engineering Conference (CSE05)
Committee, 2003-05
Member, ICIAM07 Scientific Program Committee, 2004-2007
Member, SIAM Prize Committee, 2007 -present
Member, PNNL Computational Science and Engineering Initiative Review Committee,
2003-present
Member, PNNL Science Advisory Committee, 2003-present
Member, NSF Committee on Science-based Engineering, Washington DC, 2004-2007
Member, University of Chicago Peer Review Committee for Argonne National Laboratory,
2005-present
Member Statistical and Applied Mathematical Sciences Institute (SAMSI) National
Advisory Committee, North Carolina, 2005-2008
Member, Sandia Engineering Sciences Research Foundation External Review Panel
2007-present
Chair Public Relations, Texas Academy of Medicine, Engineering & Sciences
(TAMEST) 2006-2008
DOE Workshop Participant on Directions for DOE Subsurface Sciences 1/9-12/2007
Member, DOE Review Committee, Geosciences, 2007
Member, Ohio State Bioinformatics Advisory Council, 2007-2008
Member, Advisory Board of Louisiana State LONI Institute, 2008-present
Editorial Boards
Editor, Numerical Algorithms
Editor, Numerical Methods in Partial Differential Equations
Co-managing Editor, Computational Geosciences
Editor, Concurrency and Computation: Practice and Experience
Advisory Editor, Computer Methods in Applied Mechanics and Engineering
Editorial Board, Springer
Editorial Board, SIAM Computational Science and Engineering Book Series
Editor, SIAM Multiscale and Simulation
Conferences Organized/Chaired
Moderator, EPA Workshop on Next Generation Environmental Models and Computational
Methods, Bay City, MI, August 1995
Organizing Committee, 13th Conference of the Society of Petroleum Engineers
Symposium on Reservoir Engineering, San Antonio, TX, February 1995
Organizing Committee, 14th Conference of the Society of Petroleum Engineers
Symposium on Reservoir Engineering, Dallas, June 1997
ICIAM IV Cambridge Conference Committee, SIAM, 1997-1998
Organizing Committee, SIAM Geosciences Meeting V, Albuquerque, New Mexico, June
1997
Member, Organizing Committee, Finite Elements in Flow Problems 2000, TICAM and
the University of Texas at Austin, Austin, Texas, 2000
Organizer, Minisymposium at SIAM National Meeting, “Mathematical Modeling
and Numerical Simulation of Subsurface and Surface Flow Problems,” with
C. N. Dawson and E. W. Jenkins, San Juan, Puerto Rico, 2000
Organizer, Minisymposium at SIAM National Meeting, “Enabling Technologies
for Parallel Simulation of Complex Physical Models,” with P. Collela and
J. Saltz, San Juan, Puerto Rico, 2000
Organizer, Minisymposium at SIAM, “Locally Conservative Numerical Methods
for Flow in Porous Media,” Session II, Sixth SIAM Conference on Mathematical
and Computational Issues in the Geosciences, June 2001
Organizer, Minisymposium at SIAM, “Multiphysics Couplings for Geosciences,”
Sessions I and II, Sixth SIAM Conference on Mathematical and Computational Issues
in the Geosciences, June 2001
Organizer, “Workshops on Earth System,” Institute for Mathematics
and Its Applications (IMA), Spring 2002
Committee Member, SIAM Computational Science and Engineering Conference, February
2003
Committee Member, 2nd MIT Meeting, June 17-20, 2003
Organizing Committee, 7th U.S. National Congress on Computational Mechanics,
Albuquerque, New Mexico, July 27-31, 2003
Spend a Summer with a Scientist Program, Rice University, 1992-95
Presenter, Mathematical Association of America - Kentucky Chapter, March 1995
Presenter, Center for Research in Parallel Computation, Girltech, June 1995
Presenter, Rice University Undergraduate Mathematics Program, July 1995
Presenter, Texas Society of Professional Engineers, Community Partnership Symposium
for Enhancing Math and Science Education, September 1995
Engineering Advisory Board, University of Vermont, 1995-2003
Presenter, Association for Women in Mathematics Seminar, July 2000
“How Can One Achieve a Successful Career in Teaching and Research”
Career Success Workshop for Faculty Women in Engineering and Natural Sciences,
The University of Texas at Austin, College of Engineering and College of Natural
Sciences, Guadalupe River Ranch Resort, Boerne, TX, April 5, 2002.
“What Does Water Know About Mathematics,” VIGRE Mathematics Students,
April 18, 2002.
“Computational Science Modeling in the Geosciences,” Presentation
to SIAM, Student Chapter, The University of Texas at Austin, February 8, 2006.
Organizer, Women in Engineering Symposia, “Leading, Growing, and Achieving
as Women Engineers in the Workplace,” Presentation by Susan Brown, Raytheon,
April 19, 2006.
Administrative Positions
Director, Center for Subsurface Modeling
University
Member, Provost's Academic Council, 1995-98
Member, Experimental Parallel Computer System Committee, 1995-96
Member, New Initiative in Digital Science Committee, Project DISC, 1995-96
Member, Review Committee, Center for Numerical Analysis, 1995
Member, NSF Midlevel Center Committee, 1995-96
Chair, Associate Vice President for Information Technology Selection Committee,
1996-97
Faculty Advisory Committee on Budgets, 1996-99
Member, Review Committee for the Bureau of Economic Geology, 2000
Member, Review Committee for the Institute for Geophysics, 2000
ACCES Director Search Committee, 2000-2001
Member, Organizing Committee for Texas Faculty Women’s Conference, 2001
Chairman, Research Policy Committee, Faculty Council, 2002-2003
Member, Faculty Club Advisory Committee, 2000-05
Member, Faculty Council, 2001-05
Member, Faculty Search Committee for Chair in Distributed and Grid Computing,
2002-06
Member, University Objectivity in Research Committee, 2002-2007
Member, Chancellor’s Committee, 2004-present
College
Member, Women in Engineering Program Committee, 1995-present
Member, Faculty Women Steering Committee, 2000-present
Member, Mathematics and Science Committee, 2003-present
Member, Engineering Promotions Committee, 2006-2007
Member, KAUST AEA Committee, 2007-present
Department
Member, ASE/EM Computational Mechanics, 1995-96
Member, ASE/EM Teaching Portfolio Committee, 1995-96
Member, Computational and Applied Mathematics Graduate Program Committee, 1996-1999
Member, Faculty Evaluation Committee, Aerospace and Engineering Mechanics, 1998-2000
Member, ASE/EM Awards Committee, 2002-2003
Chairman, ASE/EM 2003 Faculty Performance Review Committee, 2003
Member, ASE/EM Promotion Package and Faculty Recruitment Committee, 2003-2004
Member, Advisory Board for Institute for Computational and Engineering Sciences,
1995-present
Member, Graduate Committee, Petroleum and Geosystems Engineering, 1998-present
Chairman, Petroleum and Geosystems Engineering Colloquium, Fall 2005
Member, ASC Awards Committee, 2006-2007
NORCUS Professorship, 1991-92
Phi Beta Kappa
Sigma Xi
Educator Award, American Women in Aerospace, 1997
National Academy of Engineering, 1998
Distinguished Alumna of Rice University, May 13, 2000
USACM Computational Fluid Mechanics Award, 2003
Adjunct Professor, University of Texas M. D. Anderson Cancer Center
Fellow, International Association for Computational Mechanics
Honorary Doctorate, Technische Universiteit Eindhoven, April 26, 2006
Joe J. King Award, University of Texas at Austin, 2006
IBM Faculty Recognition Award, ($37,000) 2006, ($28,000) 2007, ($38,000) 2008
July
Appointed Member, Board of Governors, Argonne National Laboratory, May 2006
Honorary Doctorate, Colorado School of Mines, May 2008
Refereed Journal Publications
1. Wheeler, M. F., “A priori L2 error estimates for Galerkin approximations
to parabolic partial differential equations,” SIAM Journal on Numerical
Analysis, vol. 10 (1973), no. 4, pp. 723-759.
2. Wheeler, M. F., “An optimal L? error estimate for Galerkin approximations
to solutions of two-point boundary value problems,” SIAM Journal on Numerical
Analysis, vol. 10 (1973), no. 5, pp. 914-917.
3. Wheeler, M. F., “L? estimates of optimal orders for Galerkin methods
of one dimensional second order parabolic and hyperbolic equations,” SIAM
Journal on Numerical Analysis, vol. 10 (1973), no. 5, pp. 908-913.
4. Wheeler, M. F., “A Galerkin procedure for estimating the flux for two
point boundary value problems,” SIAM Journal on Numerical Analysis, vol.
11 (1974), no. 4, pp. 764-768.
5. Douglas Jr., J., Dupont, T. F., and Wheeler, M. F., “A Galerkin procedure
for approximating the flux on the boundary for elliptic and parabolic boundary
value problems,” Revue Francaise d'Automatique, Informatique et Recherche
Operationelle, vol. 8 (1974), no. R-2, pp. 47-59.
6. Douglas Jr., J., Dupont, T. F., and Wheeler, M. F., “An L? estimate
and a superconvergence result for a Galerkin method for elliptic equations based
on tensor products of piecewise polynomials,” Revue Francaise d'Automatique,
Informatique et Recherche Operationelle, vol. 8 (1974), no. R-2, pp. 61-66.
7. Wheeler, M. F., “An H-1-Galerkin method for parabolic problems in a
single space variable,” SIAM Journal on Numerical Analysis, vol. 12 (1975),
no. 5, pp. 803-817.
8. Dunn, R., and Wheeler, M. F., “Some collocation-Galerkin methods for
two-point boundary value problems,” SIAM Journal on Numerical Analysis,
vol. 13 (1976), no. 5, pp. 720-733.
9. Kendall, R., and Wheeler, M. F., “A Crank-Nicolson H-1-Galerkin procedure
for parabolic problems in a single space variable,” SIAM Journal on Numerical
Analysis, vol. 13 (1976), no. 6, pp. 861-876.
10. Wheeler, M. F., “A C0 collocation Galerkin procedure for two-point
boundary value problems and one space dimensional parabolic problems,”
SIAM Journal on Numerical Analysis, vol. 14 (1977), no. 1, pp. 71-90.
11. Douglas Jr., J., Dupont, T. F., Rachford, H., and Wheeler, M. F., “Local
H-1-Galerkin and adjoint local H-1-Galerkin procedures for elliptic equations,”
R.A.I.R.O. Analyse Numérique, vol. 11 (1977), no. 1, pp. 3-12.
12. Wheeler, M. F., “An elliptic collocation-finite element method with
interior penalties,” SIAM Journal on Numerical Analysis, vol. 15 (1978),
no. 1, pp. 152-161.
13. Douglas Jr., J., Dupont, T. F., and Wheeler, M. F., “A quasi-projection
analysis of Galerkin methods for parabolic and hyperbolic equations,”
Mathematics of Computation, vol. 32 (1978), no. 142, pp. 345-362.
14. Percell, P., and Wheeler, M. F., “A local residual finite element
procedure for elliptic equations,” SIAM Journal on Numerical Analysis,
vol. 15 (1978), no. 4, pp. 705-714.
15. Ewing, R. E., and Wheeler, M. F., “Galerkin methods for miscible displacement
problems in porous media,” SIAM Journal on Numerical Analysis, vol. 17
(1980), no. 3, pp. 351-365.
16. Percell, P., and Wheeler, M. F., “A C1 finite element collocation
method for elliptic equations,” SIAM Journal on Numerical Analysis, vol.
17 (1980), no. 5, pp. 605-622.
17. Carey, G., Humphrey, D., and Wheeler, M. F., “Galerkin and collocation-Galerkin
methods with superconvergence and optimal fluxes,” International Journal
for Numerical Methods in Engineering, vol. 17 (1981), no. 6, pp. 939-950.
18. Nitsche, J., and Wheeler, M. F., “L?-boundedness of the finite element
Galerkin operator for parabolic problems,” Numerical Functional Analysis
and Optimization, vol. 4 (1982), pp. 325-353.
19. Douglas Jr., J., and Wheeler, M. F., “Implicit, time-dependent variable
grid finite difference methods for the approximation of a linear waterflood,”
Mathematics of Computation, vol. 40 (1983), no. 161, pp. 107-121.
20. Douglas Jr., J., Ewing, R. E., and Wheeler, M. F., “The approximation
of the pressure by a mixed method in the simulation of miscible displacement,”
R.A.I.R.O. Analyse Numérique, vol. 17 (1983), no. 1, pp. 17-33.
21. Douglas Jr., J., Ewing, R. E., and Wheeler, M. F., “Time stepping
procedures for simulation of miscible displacement using mixed methods for pressure
approximation,” R.A.I.R.O. Analyse Numérique, vol. 17 (1983), no.
1, pp. 77-110.
22. Douglas Jr., J., Ewing, R. E., and Wheeler, M. F., “A time-discretization
procedure for a mixed finite element approximation of miscible displacement
in porous media,” R.A.I.R.O. Analyse Numérique, vol. 17 (1983),
no. 3, pp. 249-265.
23. Darlow, B. L, Ewing, R. E., and Wheeler, M. F., “Mixed finite element
methods for miscible displacement problems in porous media,” Society of
Petroleum Engineers Journal, (1984), pp. 391-398.
24. Douglas Jr., J., Darlow, B. L., Kendall, R. P., and Wheeler, M. F., “Self-adaptive
finite element and finite difference methods for one-dimensional, two-phase,
immiscible flow,” Computer Methods in Applied Mechanics and Engineering,
vol. 47 (1984), pp. 119-130.
25. Douglas Jr., J., Darlow, B. L., Kendall, R. P., and Wheeler, M. F., “Self-adaptive
finite element simulation of miscible displacement in porous media,” Computer
Methods in Applied Mechanics and Engineering, vol. 47 (1984), pp. 131-159.
26. Ewing, R. E., Russell, T .F., and Wheeler, M. F., “Convergence analysis
of an approximation of miscible displacement in porous media by mixed finite
elements and a modified method of characteristics,” Computer Methods in
Applied Mechanics and Engineering, vol. 47 (1984), pp. 73-92.
27. Bell, J. B., Shubin, G. R., and Wheeler, M. F., “Analysis of a new
method for computing the flow of miscible fluids in a porous media,” SIAM
Journal on Numerical Analysis, vol. 22 (1985), no. 6, pp. 1041-1050.
28. Wheeler, M. F., and Whiteman, J. R., “Superconvergent recovery of
gradients on subdomains for piecewise linear finite element approximations,”
Numerical Methods for Partial Differential Equations, vol. 3 (1987), no. 1,
pp. 65-82.
29. Weiser, A., and Wheeler, M. F., “On convergence of block-centered
finite differences for elliptic problems,” SIAM Journal on Numerical Analysis,
vol. 25 (1988), no. 2, pp. 351-375.
30. Thomaidis, G., Wheeler, M. F., and Zygourakis, K. “An explicit finite
difference scheme based on the modified method of characteristics for solving
convection-diffusion problems in one space dimension,” Numerical Methods
for Partial Differential Equations, vol. 4 (1988), no. 2, pp. 119-138.
31. Wheeler, M. F., Kinton, W. A., and Dawson, C. N., “Time-splitting
for advection-dominated parabolic problems in one space variable,” Communications
in Applied Numerical Methods, vol. 4 (1988), no. 3, pp. 413-423.
32. Glowinski, R., Kinton, W. A., and Wheeler, M. F., “A mixed finite
element formulation for boundary controllability of the wave equation,”
International Journal for Numerical Methods in Engineering, vol. 27 (1989),
pp. 623-635.
33. Chiang, C., Bedient, P., and Wheeler, M. F., “A modified method of
characteristics technique and mixed finite element method for simulation of
groundwater solute transport,” Water Resources Research, vol. 25 (1989),
pp. 1541-1549.
34. Dawson, C. N., Russell, T. F., and Wheeler, M. F., “Some improved
error estimates for the modified method of characteristics,” SIAM Journal
on Numerical Analysis, vol. 26 (1989), no. 6, pp. 1487-1512.
35. Cowsar, L. C., Dupont, T. F., and Wheeler, M. F., “A priori estimates
for mixed finite element methods for the wave equation,” Computer Methods
in Applied Mechanics and Engineering, vol. 82 (1990), pp. 205-222.
36. Chiang, C. Y., Dawson, C., and Wheeler, M. F., “Modeling of in situ
biorestoration of organic compounds in groundwater,” Transport in Porous
Media, Vol. 6, pp. 667-702, 1991.
37. Moissis, D. E., Miller, C. A., and Wheeler, M. F., “Simulation of
miscible viscous fingering using a modified method of characteristics: effects
of gravity and heterogeneity,” SPE Reservoir Advanced Technology Series,
vol. 1 (1993), pp. 62-72.
38. Arbogast, T., Obeyesekere, M. and Wheeler, M. F., “Numerical methods
for the simulation of flow in root-soil systems,” SIAM Journal on Numerical
Analysis, vol. 30 (1993), no. 6, pp. 1677-1702.
39. Chippada, S., Ramaswamy, B., and Wheeler, M. F., “Numerical simulation
of hydraulic jump,” International Journal for Numerical Methods in Engineering,
vol. 37 (1994), pp. 1381-1397.
40. Dawson, C. N., van Duijn, C. J., and Wheeler, M. F., “Characteristic-Galerkin
methods for contaminant transport with non-equilibrium adsorption kinetics,”
SIAM Journal on Numerical Analysis, vol. 31 (1994), no. 4, pp. 982-999.
41. Shaw, S., Warby, M. K., Whiteman, J. R., Dawson, C. N., and Wheeler, M.
F., “Numerical techniques for the treatment of quasistatic solid viscoelastic
stress problems,” Computer Methods in Applied Mechanics and Engineering,
vol. 118 (1994), pp. 211-237.
42. Wheeler, M. F., and Whiteman, J. R., “Superconvergence of recovered
gradients of discrete time/piecewise linear Galerkin approximations for linear
and nonlinear parabolic problems,” Numerical Methods for Partial Differential
Equations, vol. 10 (1994), no. 3, pp. 271-294.
43. Kuznetsov, Y. A., and Wheeler, M. F., “Optimal order substructuring
preconditioners for mixed finite element methods on nonmatching grids,”
East-West Journal of Numerical Mathematics, (1995), pp. 127-143.
44. Arbogast, T., and Wheeler, M. F., “A characteristics-mixed finite
element method for advection dominated transport problems,” SIAM Journal
on Numerical Analysis, vol. 32 (1995), no. 2, pp. 404-424.
45. Cowsar, L. C., Mandel, J., and Wheeler, M. F., “Balancing domain decomposition
for mixed finite element methods,” Mathematics of Computation, vol. 64
(1995), pp. 989-1015.
46. Cowsar, L. C., Dupont, T. F., and Wheeler, M. F., “A priori estimates
for the mixed finite element approximation of second order hyperbolic equations
with absorbing boundary conditions,” SIAM Journal on Numerical Analysis,
vol. 33 (1996), no. 2, pp. 492-504.
47. Arbogast, T., Wheeler, M. F., and Zhang, N. Y., “A nonlinear mixed
finite element method for a degenerate parabolic equation arising in flow in
porous media,” SIAM Journal on Numerical Analysis, vol. 33 (1996), no.
4, pp. 1669-1687.
48. Chippada, S., Jue, T. C., Joo, S. W., Ramaswamy, B., and Wheeler, M. F.,
“Numerical simulation of free boundary problems,” International
Journal for Computational Fluid Dynamics, vol. 7 (1996), pp. 91-118.
49. Arbogast, T., Bryant, S., Dawson, C. N., Saaf, F., Wang, C., and Wheeler,
M. F., “Computational methods for multiphase flow and reactive transport
problems arising in subsurface contaminant remediation,” Journal of Computational
and Applied Mathematics, vol. 74 (1996), pp. 19-32.
50. Arbogast, T., Wheeler, M. F., and Yotov, I., “Mixed finite elements
for elliptic problems with tensor coefficients as cell-centered finite differences,”
SIAM Journal on Numerical Analysis, vol. 34 (1997), no. 2, pp. 828-852.
51. Dawson, C. N., Wheeler, M. F., and Woodward, C. S., “A two-grid finite
difference scheme for nonlinear parabolic equations,” SIAM Journal on
Numerical Analysis, vol. 35 (1998), no. 2, pp. 435-452.
52. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “Finite
element approximations to the system of shallow water equations. Part I: Continuous
time a priori error estimates,” SIAM Journal on Numerical Analysis, vol.
35 (1998), no. 2, pp. 692-711.
53. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “Finite
element approximations to the system of shallow water equations. Part II: Discrete
time a priori error estimates,” SIAM Journal on Numerical Analysis, vol.
36 (1998), no. 1, pp. 226-250.
54. Dawson, C. N., Klie, H., Wheeler, M. F., and Woodward, C. S., “A parallel,
implicit cell-centered method for two-phase flow with a preconditioned Newton-Krylov
solver,” Computational Geosciences, vol. 1 (1998), pp. 215-249.
55. Arbogast, T., Dawson, C. N., Keenan, P. T., Wheeler, M. F., and Yotov, I.,
“Enhanced cell-centered finite differences for elliptic equations on general
geometry,” SIAM Journal on Scientific Computing, vol. 19 (1998), no. 2,
pp. 404-425.
56. Toran, L., Bryant, S., Saunders, J., and Wheeler, M. F., “A two-tiered
approach to reactive transport: application to Sr mobility under variable pH,”
Ground Water, vol. 36 (1998), no. 3, pp. 404-408.
57. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “A
projection method for constructing a mass conservative velocity field,”
Computational Methods in Applied Mechanics and Engineering, vol. 157 (1998),
no. 1-2, pp. 1-10.
58. Rivière, B., Girault, V. and Wheeler, M. F., “Part I: Improved
energy estimates for interior penalty, constrained and discontinuous Galerkin
methods for elliptic problems,” Computational Geosciences, vol. 3 (1999),
pp. 337-360.
59. Li, J., and Wheeler, M. F., “Uniform convergence and superconvergence
of mixed finite element methods on anisotropically refined grids,” SIAM
Journal on Numerical Analysis, vol. 38 (2000), no. 3, pp. 770-798.
60. Arbogast, T., Cowsar, L. C., Wheeler, M. F., and Yotov, I., “Mixed
finite element methods on non-matching multiblock grids,” SIAM Journal
on Numerical Analysis, vol. 37 (2000), no. 4, pp. 1295-1315.
61. Wheeler, M. F., and Yotov, I., “Multigrid on the interface for mortar
mixed finite element methods for elliptic problems,” Vistas in Domain
Decomposition and Parallel Processing in Computational Mechanics, special issue
of Computational Methods in Applied Mechanics and Engineering, vol. 184 (2000),
pp. 287-302.
62. Rivière, B., Wheeler, M. F., and Banas, K., “Part II: Discontinuous
Galerkin method applied to a single-phase flow in porous media,” Computational
Geosciences, vol. 4 (2000), pp. 337-349.
63. Rivière, B., Wheeler, M. F., and Girault, V., “A priori error
estimates for finite element methods based on discontinuous Galerkin approximation
spaces for elliptic problems,” SIAM Journal on Numerical Analysis, vol.
39 (2001), no.3, pp. 902-931.
64. Cowsar, L. C., Glowinski, R., Kearsley, A. J., Wheeler, M. F., and Yotov,
I., "A new optimization approach to multiphase flow," J. Optim. Theory
and Application, vol. 11, no. 3 (2001), pp. 473-488.
65. Lacroix, S., Vassilevski, Y., Wheeler, M. F., and Wheeler, J., "Iterative
solvers of the implicit parallel accurate reservoir simulator (IPARS),"
Numerical Linear Algebra with Applications, vol. 4 (2001), pp. 537-549.
66. Rivière, B., and Wheeler, M. F., “Discontinuous Galerkin methods
for flow and transport problems in porous media,” Communications in Numerical
Methods in Engineering, Vol. 18 (January 2002), pp. 63-68.
67. Rivière, B., and Wheeler, M. F., “Coupling locally conservative
methods for single phase flow,” Computational Geosciences, vol. 6 (January
2002), pp. 269-284.
68. Wheeler, J., Wheeler, M. F., and Yotov, I., “Enhanced velocity mixed
finite element methods for multiblock domains,” Computational Geosciences,
vol. 6 (January 2002), pp. 315-322.
69. Peszynska, M., Wheeler, M. F., and Yotov, I., “Mortar upscaling for
multiphase flow in porous media,” Computational Geosciences vol. 6 (January
2002), pp. 73-100.
70. Wheeler, M. F. and Peszynska, M., “Computational engineering and science
methodologies for modeling and simulation of subsurface applications,”
Advances in Water Resources, vol. 25 (Aug.-Dec. 2002), pp. 1147-1173.
71. Jenkins, E. W., Rivière, B., and Wheeler, M. F., “A priori
error estimates for mixed finite element approximations of the acoustic wave
equation,” SIAM Journal on Numerical Analysis, vol. 40, no. 5 (Sept.-Oct.
2002), pp. 1698-1715..
72. Rivière, B., and Wheeler, M. F., “Non-conforming methods for
transport with nonlinear reaction,” Contemporary Mathematics—Fluid
Flow and Transport in Porous Media: Mathematical and Numerical Treatment, eds.
Z. Chen and R. E. Ewing, vol 295 (2002), American Mathematical Society, Providence,
Rhode Island, pp.421-432.
73. Peszynska, M., Jenkins, E. W., and Wheeler, M. F., “Boundary conditions
for fully implicit two-phase flow models,” in Contemporary Mathematics:
Recent Advances in Numerical Methods for Partial Differential Equations and
Applications, X. Feng and T. P. Schultze eds. (2002), pp. 85-106.
74. Lu, Q., Peszynska, M., and Wheeler, M. F., “A parallel multi-block
black-oil model in multi-model implementation,” SPE Journal vol. 7, no.
3 (2002), pp. 278-287, SPE 79535.
75. Minkoff, S. E., Stone, M. E., Bryant, S., Peszynska, M., and Wheeler, M.
F., “Coupled fluid flow and geomechanical deformation modeling,”
Journal of Petroleum Science and Engineering, vol. 38 (2003), pp. 37-56.
76. Rivière, B., and Wheeler, M. F., “Discontinuous finite element
methods for acoustic and elastic wave problems. Part I: semidiscrete error estimates,”
Contemporary Mathematics, vol. 329 (2003), pp. 271-282.
77. Rivière, B., and Wheeler, M. F., “A posteriori error estimates
and mesh adaptation strategy for discontinuous Galerkin methods applied to diffusion
problems,” Computers and Mathematics with Applications, vol. 46, no. 1
(2003), pp. 141-163.
78. Lacroix, S., Vassilevski, Y., Wheeler, J., and Wheeler, M. F., “Iterative
solution methods for modeling multiphase flow in porous media fully implicitly,”
SIAM J. Sci. Comp., vol. 25, no. 3 (2003), pp. 905-926.
79. Sun, S., Rivière, B., and Wheeler, M. F., “A combined method
for miscible displacement problem,” Recent Progress in Computational and
Applied PDE’s, Kluwer Academic/Plenum Publishers, (2003), pp. 321-348.
80. Rivière, B., Wheeler, M. F., Shaw, S., and Whiteman, J. R., “Discontinuous
Galerkin finite element methods for quasistatic linear viscoelasticity,”
Numerische Mathematik, vol. 95 (2003), pp. 349-376.
81. Girault, V., Rivière, B., and Wheeler, M. F., “A discontinuous
Galerkin method with non-overlapping domain decomposition for the Stokes and
Navier-Stokes problems,” published electronically in Mathematics of Computation,
(http://www.ams.org/mcom/) March 23, 2004.
82. Banas, K. and Wheeler, M. F., “Preconditioning GMRES for discontinuous
Galerkin approximations,” Computer Assisted Mechanics and Engineering
Sciences, vol. 11 (2004), pp. 47-62.
83. Bangerth, W., Klie, H., Matossian, V., Parashar, M. and Wheeler, M. F.,
“An Autonomic reservoir framework for the stochastic optimization of well
placement,” Journal of Networks, Software Tools, and Applications, special
issue on “Challenges of Large Applications in Distributed Environments”,
2004.
84. Dawson, C., Sun, S., and Wheeler, M. F., “Compatible algorithms for
coupled flow and transport,” Computer Methods in Applied Mechanics and
Engineering, vol. 193 (2004), pp. 2565-2580.
85. Sun, S., and Wheeler, M. F., “L2(H1) norm a posteriori error estimation
for discontinuous Galerkin approximations of reactive transport problems,”
Journal of Scientific Computing, 22, 501-530, 2005.
86. Parashar, M., Klie, H., Catalyurek, U., Kurc, T., Bangerth, W., Matossian,
V., Saltz, J., and M. Wheeler, “Application of Grid-enabled Technologies
for Solving Optimization Problems in Data-Driven Reservoir Studies,” Future
Generation Computer Systems, vol. 21 (2005), pp. 19-26.
87. Matossian, V., Bhat, V., Parashar, M., Peszynska, M., Sen, M., Stoffa, P.,
and Wheeler, M. F., “Autonomic oil reservoir optimization on the Grid,”
Concurrency and Computation, Practice and Experience, John Wiley and Sons, vol.
17 (2005), pp. 1-26.
88. Arbogast, T. and Wheeler, M. F., “A family of rectangular mixed elements
with a continuous flux for second order elliptic problems,” SIAM Journal
on Numerical Analysis, vol. 42, no. 5 (2005), pp. 1914-1932.
89. Sun, S., Wheeler, M. F., Obeyesekere, M., and Patrick Jr., C. W., “A
deterministic model of growth factor-induced angiogenesis”, Bulletin of
Mathematical Biology, vol. 67, no. 2 (2005), pp. 313-337.
90. Sun, S. and Wheeler, M. F., “Discontinuous Galerkin methods for coupled
flow and reactive transport problems,” Applied Numerical Mathematics,
vol. 52, no. 2-3 (2005), pp. 273-298.
91. Girault, V., Rivière, B., and Wheeler, M. F., “A discontinuous
Galerkin method with non-overlapping domain decomposition for the Stokes and
Navier-Stokes problems,” Mathematics of Computation, vol. 74, no. 249
(2005), pp. 53-84.
92. Sun, S., Wheeler, M. F., Obeyesekere, M. and Patrick, C. W., “Nonlinear
behaviors of capillary formation in a deterministic angiogenesis model,”
Nonlinear Analysis, vol 63:5-7 (2005), pp. 2237-2246.
93. Sun, S. and Wheeler, M. F., “Symmetric and non-symmetric discontinuous
Galerkin method for reactive transport in porous media,” SIAM Journal
on Numerical Analysis, vol 43:1 (2005), pp. 195-219.
94. Girault, V., Rivière, B., and Wheeler, M. F., “Splitting method
using discontinuous Galerkin for the transient incompressible Navier-Stokes
equations,” Mathematical Modeling and Numerical Analysis vol. 39:6 (2005),
pp. 1115-1148.
95. Sun, S. and Wheeler, M. F., “Projections of velocity data for compatibility
with transport,” Computer Methods in Applied Mechanics and Engineering
vol 195 (2006), pp. 653-673.
96. Sun, S. and Wheeler, M. F., “A posteriori error estimation and dynamic
adaptivity for symmetric discontinuous Galerkin approximations of reactive transport
problems,” Computer Methods in Applied Mechanics and Engineering, vol
195 (2006), pp. 632-652.
97. Sun, S., and M. F. Wheeler, “Anisotropic and dynamic mesh adaptation
for discontinuous Galerkin methods applied to reactive transport,” Computer
Methods in Applied Mechanics and Engineering vol 195 (2006), pp. 3382-3405.
98. Berndt, M., Lipnikov, K., Shashkov, M., Wheeler, M. F., and Yotov, I., “Superconvergence
of the velocity in mimetic finite difference methods on quadrilaterals,”
SIAM Journal on Numerical Analysis, vol. 43:4 (2005), pp. 1728-1749.
99. Berndt, M., Lipnikov, K., Shashkov, M., Wheeler, M. F., and Yotov, I., “A
mortar mimetic finite difference method on non-matching grids,” Numerische
Mathematik, vol . 102:2 (2005), pp. 203-230.
100. Wheeler, M. F. and Yotov, I., “A posteriori error estimates for the
mortar mixed finite element method,” SIAM Journal on Numerical Analysis,
vol 43:3 (2005), pp. 1021-1042.
101. Sun, S., M. F. Wheeler, M. Obeyesekere and C. W. Patrick Jr., “Multiscale
angiogenesis modeling using mixed finite element methods,” SIAM Journal
on Multiscale Modeling and Simulation vol. 4:4 (2005), pp. 1137-1167.
102. Bangerth, W., Klie, H., Wheeler, M. F., Stoffa, P. and Sen, M., “On
Optimization Algorithms for the Reservoir Oil Well Placement Problem,”
Computational Geosciences vol. 10 (2006), no. 3, pp. 303-319.
103. Sun, S. and Wheeler, M. F., “Discontinuous Galerkin methods for simulating
bioreactive transport of viruses in porous media,” Advances in Water Resources,
vol. 30 (July, 2007), no. 6-7, pp. 1696-1710
104. Sun, S. and Wheeler, M. F., “A dynamic, adaptive, locally conservative
and nonconforming solution strategy for transport phenomena in chemical engineering,”
Chemical Engineering Communications, vol. 193 (2006), pp. 1527-1545.
105. Sun, S. and Wheeler, M. F., “Analysis of discontinuous Galerkin methods
for multicomponent reactive transport problems,” Computers and Mathematics
with Applications, vol. 52 (2006), no. 5, pp. 637-650.
106. Wheeler, M. F. and Yotov, I., “A multipoint flux mixed finite element
method,” SIAM Journal on Numerical Analysis, vol. 44 (2006), no. 5, pp.
2082-2106.
107. Bangerth, W., Caltalyurek, U., Gai, X., Klie, H., Kurc, T., Parashar, M.,
Saltz, J., Sen, M., Stoffa, P., Wheeler, M. F., “Models, methods and middleware
for grid-enabled multiphysics oil reservoir management,” Engineering with
Computers, vol. 22 (2006), no. 3-4, pp. 349-370.
108. Girault, V. and Wheeler, M. F., “Discontinuous Galerkin methods,”
Computational Modeling with Partial Differential Equations in Science and Engineering,
accepted.
109. Russell, T. F., Wheeler, M. F., and Yotov, I., “Superconvergence
for control-volume mixed finite element methods on rectangular grids,”
SIAM Journal on Numerical Analysis, vol. 45 (January, 2007), no. 1, pp. 223-235.
110. Gai, X., Wheeler, M. F., “Iteratively coupled mixed and Galerkin
finite element methods for poro-elasticity,” Numerical Methods for Partial
Differential Equations, vol. 23 (April, 2007), no. 4, pp. 785-797.
111. Arbogast, T., Pencheva, G., Wheeler, M.F., and Yotov, I., “A multiscale
mortar mixed finite element method,” Multiscale Modeling and Simulation,
vol. 6 (May, 2007), no. 1, pp. 319-346.
112. Phillips, P. J., and Wheeler, M. F., “A Coupling of Mixed and Continuous
Galerkin Finite Element Methods for Poroelasticity I: the Continuous in Time
Case,” Computational Geosciences, vol. 11 (June, 2007), no. 2, pp. 131-144.
113. Phillips, P. J., and Wheeler, M. F., “A Coupling of Mixed and Continuous
Galerkin Finite Element Methods for Poroelasticity II: the Discrete in Time
Case,” Computational Geosciences, vol. 11 (June, 2007), no. 2, pp. 145-158.
114. Sun, S. and Wheeler, M.F. “Local problem-based a posteriori error
estimates for discontinuous Galerkin approximations to reactive transport,”
Computational Geosciences, vol. 11 (June, 2007), no. 2, pp. 87-101.
115. Balhoff, M., Thomas, S., Wheeler, M. F., “Mortar coupling and upscaling
of pore-scale models,” Computational Geosciences, vol. 12 (September,
2007), no. 1, pp. 15-27.
116. Kim, M. Park, E., Thomas, S. G., Wheeler, M.F., “A Multiscale mortar
mixed finite element method for slightly compressible flows in porous media,”
J. Korean Math. Soc, vol. 44 (September, 2007), no. 5, pp. 1103-1119.
117. Aavatsmark, I., Eigestad, G. T., Klausen, R. A., Yotov, I. and Wheeler,
M. F., “Convergence of a symmetric MPFA method on quadrilateral grids,”
Computational Geosciences, vol. 11 (December, 2007), no. 4, pp. 333-345.
118. Kim, M., and Wheeler, M. F., “Coupling discontinuous Galerkin discretizations
using mortar finite elements for advection-diffusion-reaction problems,”
submitted to SIAM Journal on Numerical Analysis.
119. Girault, V., Sun, S., Wheeler, M. F. and Yotov, I., “Coupling discontinuous
Galerkin and mixed finite element discretizations using mortar finite elements,”
SIAM Journal on Numerical Analysis, vol. 46 (March, 2008), no. 2, pp. 949-979.
120. Phillips, P. J., and Wheeler, M. F., “A coupling of mixed and discontinuous
Galerkin finite-element methods for poroelasticity,” Computational Geosciences,
13 May 2008 < http://www.springerlink.com/
content/543h6t46871731tx/?p=e10d347fd6a6421a827b15112e82be08&pi=2>.
121. Girault, V., and Wheeler, M.F., “Numerical discretization of a Darcy-Forchheimer
model,” Numerische Mathematik, vol. 110 (August 2008), no. 2, pp. 161-198.
122. Ganis, B., Klie, H., Wheeler, M.F., Wildey, T., Yotov, I., Zhang, D., “Stochastic
collocation and mixed finite elements for flow in porous media,” Computer
Methods in Applied Mechanics and Engineering, vol. 197 (August, 2008) no. 43-44,
pp. 3547-3559.
123. Basabe, J., Sen, M., and Wheeler, M.F., “The interior penalty discontinuous
Galerkin method for elastic wave propagation: grid dispersion,” Geophysical
Journal International, vol. 175 (October, 2008) no. 1, pp. 83-93.
124. Sun, S., Wang, H., Wang, K., Wheeler, M.F., “An optimal-order L^2-error
estimate for nonsymmetric discontinuous Galerkin methods for a diffusion equation
in multiple space dimensions,” Computer Methods in Applied Mechanics and
Engineering, submitted, August 2008.
125. Balhoff, M., Wheeler, M.F., “A Predictive Pore Scale Model for Non-Darcy
Flow in Anisotropic Media,” SPE Journal, accepted 2008.
126. Balhoff, M., Mikelic, A., Wheeler, M.F., “Polynomial filtration laws
for low Reynolds number flows through porous media,” J. Fluid Mech., in
review.
127. Girault, V., Pencheva, G., Wheeler, M., and Wildey, T., “Domain decomposition
for linear elasticity with DG jumps and mortars,” Computer Methods in
Applied Mechanics and Engineering, in review.
128. Wang, B., Wheeler, M.F., and Yotov, I., “Coupling multipoint flux
mixed finite elements with continuous Galerkin for poroelasticity,” in
preparation.
129. Kim, M., and Wheeler, M. F., “Multiscale discontinuous Galerkin methods
for advection-diffusion-reaction problems,” in preparation.
130. Ingram, R., Wheeler, M.F., and Yotov, I., “Multipoint flux mixed
finite element methods on hexahedral grids,” in preparation.
131. Park, E.J. And Wheeler, M.F., “An analysis of multiscale mortar mixed
finite element method,” in preparation.
132. Dawson, C.N., Dean, R., Liu, R., and Wheeler, M.F., “Modeling of
convection-dominated thermoporomechanics problems using incomplete interior
penalty Galerkin method,” to appear in Computer Methods in Applied Mechanics
and Engineering.
133. Phillips, P.J. and Wheeler, M. F., “Overcoming the problem of locking
in linear elasticity and poroelasticity: an heuristic approach,” to appear
in Computational Geosciences.
Refereed Conference Proceedings
1. Downing, J. A., Wheeler, M. F., and Young, D. M. “On the use of the
modified successive over-relaxation method with several relaxation factors,”
Proceedings of the IFIP Congress Reviews (1965).
2. Douglas Jr., J., Dupont, T. F., and Wheeler, M. F., “H1-Galerkin methods
for the Laplace and heat equations,” Mathematical Aspects of Finite Elements
in Partial Differential Equations, Carl deBoor, ed., Academic Press, Inc. (1974),
pp. 383-416.
3. Rachford, H., and Wheeler, M. F., “An H-1-Galerkin procedure for the
two-point boundary value problem,” Mathematical Aspects of Finite Elements
in Partial Differential Equations, Carl deBoor, ed., Academic Press, Inc. (1974),
pp. 353-382.
4. Darlow, B. L., Ewing, R. E., and Wheeler, M. F., “Mixed finite element
methods for miscible displacement problems in porous media,” Proceedings
of 6th SPE Symposium on Reservoir Simulation, New Orleans, Louisiana (1982),
pp. 137-146.
5. Wheeler, M. F., “Computing accurate velocities for fluid flow in porous
media,” Proceedings of Fifth International Symposium on Finite Elements
and Flow Problems (1984), pp. 131-136.
6. Nakata, M., and Wheeler, M. F., “Some superconvergence results for
mixed finite element methods for parabolic problems,” Numerical Analysis
(Guanajuato, 1984)—Lecture Notes in Mathematics, Springer, Berlin (1986),
no. 1230, pp. 167-174.
7. Dupont, T. F., Glowinski, R., Kinton, W. A., and Wheeler, M. F., “Mixed
finite element methods for time-dependent problems,” Applications to Controls
in Finite Elements in Fluids, vol. 18, T. J. Chung, ed., Hemisphere Publ. Corp.,
Washington (1992), pp. 109-136.
8. Arbogast, T., Bryant, S., Saaf, F., Wang, C., and Wheeler, M. F., “New
computational approaches for chemically reactive transport in porous media,”
Next Generation Environmental Models and Computational Methods, SIAM (1997),
pp. 217-226.
9. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “A
projection method for constructing a mass conservative velocity field,”
Computational Methods in Applied Mechanics and Engineering: Proceedings of the
1997 Symposium on Advances in Computational Mechanics, vol. 157 (1998), pp.
1-10.
10. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “A
Godunov-type finite volume method for the system of shallow water equations,”
Computational Methods in Applied Mechanics and Engineering, vol. 151 (1998),
no. 1-2, pp. 105-129.
11. Wheeler, M. F. and Yotov, I., “Physical and computational domain decompositions
for modeling subsurface flows,” Tenth International Conference on Domain
Decomposition Methods, Contemporary Mathematics, vol. 218, J. Mandel, et al.,
eds., American Mathematical Society, (1998), pp. 217-228.
12. Rivière, B., and Wheeler, M. F., “Locally conservative algorithms
for flow,” The Mathematics of Finite Elements and Applications X, J. R.
Whiteman ed., Elsevier, Oxford, U.K. (1999), pp. 29-46.
13. Wheeler, M. F., “Advanced techniques and algorithms for reservoir
simulation II: the multiblock approach in the Integrated Parallel Accurate Reservoir
Simulator (IPARS),” The IMA Volumes in Mathematics and its Applications:
Resource Recovery, Confinement, and Remediation of Environmental Hazards, eds.
J. Chadam, A. Cunningham, R. E. Ewing, P. Ortoleva, and M. F. Wheeler, vol 131
(2002), Springer-Verlag, New York, pp. 9-20.
14. Wheeler, M. F., M. Peszynska, and B. Rivière, “Computational
issues in oil and gas production,” Proceedings of the 8th European Conference
on the Mathematics of Oil Recovery, 2002, E43.
15. Wheeler, M. F., Eslinger, O. Sun, S. and Rivière, B., "Discontinuous
Galerkin method for modeling flow and reactive transport in porous media,”
in Proceedings of 34th National Conference of Numerical Analysis.
16. Wheeler, M. F. and Phillips, P. J., “A coupling of mixed and Galerkin
finite element methods for poro-elasticity,” Proceedings of Second M.I.T.
Conference on Computational Fluid and Solid Mechanics,ed. K. T. Bathe. Elsevier,
vol.2, 2003, pp. 1573-1575.
17. Wheeler, M. F. and Liu, R., “Discontinuous Galerkin finite element
solution of 3D elasticity,” to appear in Proceedings of Second M.I.T.
Conference on Computational Fluid and Solid Mechanics, ed. K. T. Bathe. Elsevier,
vol.2, 2003, pp. 2170-2172.
18. Gai, X, Dean, R. H., Wheeler, M. F. and Liu, R. "Coupled geomechanical
and reservoir modeling on parallel computers", SPE 79700, to appear in
Proceedings of SPE Reservoir Simulation Sysmposium, Houston, TX, February 3-5,
2003.
19. Sun, S. and Wheeler, M. F., “Mesh adaptation strategies for discontinuous
Galerkin methods applied to reactive transport problems,” Proceedings
of the International Conference on Computing, Communication and Control Technologies
(CCCT '04), Austin, Texas, August 14-17, 2004.
20. Sun, S., Wheeler, M. F., Obeyesekere, M., and Patrick Jr., C. W., “Nonlinear
behavior of capillary formation in a deterministic angiogenesis model,”
Proceedings of the 4th World Congress of Nonlinear Analysts, Orlando, Florida,
June 30-July 7, 2004.
21. Rivière, B. and Wheeler, M. F., “Discontinuous finite element
methods for acoustic and elastic wave problems,” ICM2002 Beijing Satellite
Conference on Scientific Computing, Contemporary Mathematics 329, (2003), AMS,
pp. 271—282.
22. Sun, S. and Wheeler, M. F., “A dynamic, adaptive, locally conservative
and nonconforming solution strategy for transport phenomena in chemical engineering,”
Proceedings of the AIChE 2004 Annual Meeting, Austin, Texas, November 7-12,
2004.
23. S. Sun, M. F. Wheeler, M. Obeyesekere and C. W. Patrick Jr., “Multiscale
angiogenesis modeling”, to appear in Proceedings of the 2nd International
Workshop on Simulation of Multiphysics Multiscale Systems (in conjunction with
the ICCS'2005 conference), Atlanta, Georgia, May 22-25, 2005.
24. Manish Parashar, Vincent Matossian, Wolfgang Bangerth, Hector Klie, Benjamin
Rutt, Tahsin Kurc, Umit Catalyurek, Joel Saltz, Mary F. Wheeler, “Towards
Dynamic Data-Driven Optimization of Oil Well Placement”, Lecture Notes
in Computer Science, Volume 3515, Apr 2005, Pages 656 – 663.
25. Sun, S., Wheeler, M.F., Obeyesekere, M. and Patrick, C., “Multiscale
angiogenesis modeling,” Lecture Notes in Computer Science, v. 3516, (2005),
pp. 96-103.
26. Sun, S., and Wheeler, M. F. “Dynamically adaptive discontinuous Galerkin
methods for contaminant transport in porous media,” to appear in Mathematics
and Computation, Supercomputing, Reactor Physics and Nuclear Applications, American
Nuclear Society (2005).
27. Sun, S. and Wheeler, M. F., “Adaptive discontinuous Galerkin methods
for coupled diffusion- and advection-dominated transport phenomena,” Proceedings
of the 3rd International Conference on Computing, Communication and Control
Technologies (CCCT05), Austin, TX, July 24-27, 2005, eds. H.-W. Chu, M. J. Savoie,
and B. Sanchez, vol. 1, ISBN: 980-6560-46-9 (2005), pp. 130-135.
28. Sun, S., and Wheeler, M. F. “Dynamically adaptive discontinuous Galerkin
methods for contaminant transport in porous media,” Proceedings of the
M&C2005 International Topical Meeting on Mathematics and Computation, Supercomputing,
Reactor Physics and Nuclear and Biological Applications, Palais des Papes, Avignon,
France, September 12-15, 2005, on CD-ROM, American Nuclear Society, LaGrange
Park, IL, 2005.
29. Klie, H. and Wheeler, M. F., “Krylov-secant methods for accelerating
the solution of fully implicit formulations,” SPE Reservoir Simulation
Symposium, The Woodlands, TX, (2005) SPE #92863.
30. Pencheva, G., and Thomas, S.G., Wheeler, M.F., “Mortar Coupling of
Multiphase Flow and Reactive Transport on Non-Matching Grids,” Finite
Volumes for Complex Applications V (Problems and Perspectives), eds. R. Eymard
and J.M. Herard, Aussois, France, vol. 5, ISBN: 978-1-84821-035-6 (2008), pp.
135-143.
31. Delshad, M., Thomas, S., Wheeler, M.F., “A benchmark-study on problems
related to CO2 storage in geological formations - Summary and discussion of
the results,” Special Issue of Computational Geosciences, Helmig, Class
et al., eds., accepted 2008.
32. Delshad, M., Thomas, S., Wheeler, M.F., “Parallel simulations of CO2
sequestration using a non-isothermal compositional model,” accepted at
International Mechanical Engineering Conference and Exposition (IMECE), ASME,
Boston, Oct-Nov 2008.
Other Major Publications
1. Douglas Jr., J., Dupont, T. F., and Wheeler, M. F., “Some superconvergence
results for an H1-Galerkin procedure for the heat equation,” Lecture Notes
in Computer Science, vol. 10, Springer-Verlag (1974).
2. Hayes, L. J., Kendall, R. P., and Wheeler, M. F., “Treatment of sources
and sinks in steady-state reservoir engineering simulations,” Advances
in Computer Methods for Partial Differential Equations II, R. Vichnevetsky,
ed., IMACS (AICA) (1977), pp. 301-306.
3. Carey, G. F., and Wheeler, M. F., “C0 collocation-Galerkin methods,
codes for boundary-value problems in ordinary differential equations,”
Lecture Notes in Computer Science, vol. 76, B. Childs, et al., eds., Springer-Verlag,
New York (1979), pp. 250-257.
4. Pruess, S., Russell, R., Sincovec, R., and Wheeler, M. F., “Workshop
on basis functions, boundary-value problems in ordinary differential equations,”
Lecture Notes in Computer Science, vol. 76, B. Childs, et al., eds., Springer-Verlag,
New York (1979), pp. 263-267.
5. Darlow, B., Douglas Jr., J., Kendall, R. P., and Wheeler, M. F., “Self-adaptive
Galerkin methods for one-dimensional, two phase immiscible flow,” Proceedings
of the 46th SPE Symposium on Reservoir Simulation, Denver, Colorado (1979),
pp. 65-72.
6. Wheeler, M. F., and Darlow, B. L., “Interior penalty Galerkin procedures
for miscible displacement problems in porous media,” Computational Methods
in Nonlinear Mechanics (Proceedings of Second International Conference), North
Holland Publishing Company, Amsterdam, New York (1980), pp. 485-506.
7. Wheeler, M. F., “A self-adaptive finite difference procedure for one-dimensional,
two-phase, immiscible flow,” Seminar on Numerical Analysis and its Applications
to Continuum Physics, Soc. Brasil Mat., Rio de Janeiro (1980), pp. 153-161.
8. Ewing, R. E., Fontecilla, R., Jones, R. W., and Wheeler, M. F., “Mixed
finite element methods for elliptic partial differential equations,” Proceedings
of the 10th IMACS World Congress on Systems Simulation and Scientific Computation,
Montreal, Canada (1982), pp. 40-42.
9. Ewing, R. E., Russell, T. F., and Wheeler, M. F., “Simulation of miscible
displacement using mixed methods and a modified method of characteristics,”
SPE 12241, 7th SPE Symposium on Reservoir Simulation, San Francisco, California
(1983), pp. 71-82.
10. Ewing, R. E., and Wheeler, M. F., “Computational aspects of mixed
finite element methods,” Numerical Methods for Scientific Computing, R.
S. Stepleman, ed., North Holland Publishing Company, Amsterdam, New York (1983),
pp. 163-172.
11. Potempa, T., and Wheeler, M. F., “A slightly compressible miscible
displacement problem,” Proceedings of Fifth International Symposium on
Finite Elements and Flow Problems, Austin, Texas (1984).
12. Gonzalez, R., and Wheeler, M. F., “Mixed finite element methods for
petroleum reservoir engineering problems,” Computing Methods in Engineering
and Applied Sciences, vol. 6 (1984), North Holland, Amsterdam, pp. 639-658.
13. Potempa, T. C., and Wheeler, M. F., “An implicit diffusive numerical
procedure for a slightly compressible miscible displacement problem,”
Numerical Analysis (Dundee, 1983), Lecture Notes in Mathematics, 1066, Springer,
New York (1984), pp. 239-263.
14. Ewing, R. E., and Wheeler, M. F., “Galerkin methods for miscible displacement
problems with point sources and sinks—unit mobility ratio case,”
Mathematical Methods in Energy Research (Laramie, WY., 1982/1983), SIAM, Philadelphia,
PA (1984), pp. 40-58.
15. Ewing, R. E., Gonzalez, R., Koebbi, J. V., and Wheeler, M. F., “Mixed
finite element methods for accurate velocities,” Finite Elements in Fluids,
vol. 6 (1985), John Wiley & Sons, Ltd., pp. 233-249.
16. Nakata, M., Weiser, A., and Wheeler, M. F., “Some superconvergence
results for mixed finite element methods for elliptic problems on rectangular
domains,” Mathematics of Finite Elements and Applications V, J. R. Whiteman,
ed., Academic Press, New York (1985), pp. 367-390.
17. Russell, T. F., Wheeler, M. F., and Chiang, C., “Large-scale simulation
of miscible displacement by mixed and characteristic finite element methods,”
Proceedings of the SEG/SIAM/SPE Conference on Mathematical and Computational
Methods in Seismic Exploration and Reservoir Modeling, SIAM (1985), pp. 85-107.
18. Dawson, C. N., Nguyen, T. M., Poole, S. W., and Wheeler, M. F., “Simulation
of hydrocarbon in groundwater,” Cray Channels, vol. 8 (1986), no. 3, pp.
14-19.
19. Dawson, C. N., Bordon, R. C., and Wheeler, M. F., “Numerical simulation
of microbial biodegradation of hydrocarbons in groundwater,” Proceeding
of 6th International Symposium on Finite Elements of Flow Problems, Antibes,
France (1986), pp. 353-358.
20. Killough, J., and Wheeler, M. F., “Parallel iterative linear equation
solvers: an investigation of domain decomposition algorithms for reservoir simulation,”
SPE 16021, The Ninth SPE Symposium (1987), pp. 293-312.
21. Moissis, D. E., Miller, C. A., and Wheeler, M. F., “A parametric study
of viscous fingering in miscible displacement by numerical simulation,”
Numerical Simulation in Oil Recovery, M. F. Wheeler, ed., Springer-Verlag, New
York (1987), pp. 228-249.
22. Dawson, C. N., and Wheeler, M. F., “An operator-splitting method for
advection-diffusion reaction problems,” Mathematics of Finite Elements
and Applications VI, J. R. Whiteman, ed., Academic Press (1987), pp. 463-482.
23. Bedient, P. B., Dawson, C. N., and Wheeler, M. F., “Numerical modeling
of subsurface contaminant transport with biodegradation kinetics,” Proceedings
of National Water Well Conference, National Water Wells Association, Houston,
Texas (1987), pp. 329-344.
24. Gonzalez, R., and Wheeler, M. F., “Domain decomposition for elliptic
partial differential equations with Neumann boundary conditions,” Proceedings
of the International Conference on Vector and Parallel Computing—Issues
in Applied Research and Development (Loen, 1986), Parallel Computing, vol. 5
(1987), no. 1-2, pp. 257-263.
25. Dawson, C. N., Nguyen, T. M., Poole, S. W., and Wheeler, M. F., “Simulation
of subsurface contaminant transport with biodegradation kinetics,” Proceedings
of 3rd International Symposium, Science and Engineering on Cray Supercomputers,
Mendota Heights, MN (1987), pp. 75-86.
26. Miller, C. A., Moissis, D. E., and Wheeler, M. F., “Simulation of
viscous fingering in miscible displacement through porous media,” Proceedings
of Vista Conference, Norway (1988).
27. Wheeler, M. F., “Modeling of highly advective flow problems: modeling
surface and subsurface flows,” Proceedings of the 7th Water Resources
International Conference, MIT, U.S.A., vol. 1 (1988), pp. 35-47.
28. Glowinski, R., and Wheeler, M. F., “Domain decomposition and mixed
finite element methods for elliptic problems,” Domain Decomposition Methods
for Partial Differential Equations, SIAM, Philadelphia (1988), pp. 144-172.
29. Dawson, C. N., Kinton, W. A., and Wheeler, M. F., “Time-splitting
for advection-dominated parabolic problems in one space variable,” Communications
in Applied Numerical Methods, vol. 4 (1988), pp. 413-423.
30. Miller, C. A., Moissis, D. E., and Wheeler, M. F., “Simulation of
miscible viscous fingering using a modified method of characteristics: effects
of gravity and heterogeneity,” SPE 18440, Proceedings of the 10th SPE
Symposium on Reservoir Simulation, Houston, TX (1989), pp. 431-446.
31. Dawson, C. N., Dupont, T. F., and Wheeler, M. F., “The rate of convergence
of the modified method of characteristics for linear advection in one dimension,”
Mathematics for Large Scale Computing—Lecture Notes in Pure and Applied
Mathematics, vol. 120, Dekker, New York (1989).
32. Glowinski, R., Kinton, W. A., and Wheeler, M. F., “Acceleration of
domain decomposition algorithms for mixed finite elements by multi-level methods,”
Third International Symposium on Domain Decomposition Methods for Partial Differential
Equations, R. Glowinski, ed., SIAM (1990), pp. 263-290.
33. Dawson, C. N., and Wheeler, M. F., “Characteristic methods for modeling
nonlinear adsorption in contaminant transport,” Proceedings of 8th International
Conference on Computational Methods in Water Resources, Venice, Italy, Computational
Mechanics Publications, Southampton, U.K. (1990), pp. 305-314.
34. Arbogast, T., Obeyesekere, M., and Wheeler, M. F., “Convergence analysis
for simulating flow in root-soil systems,” The Mathematics of Finite Elements
and Applications VII, J. R. Whiteman, ed., Academic Press (1991), pp. 361-385.
35. Cowsar, L. C., and Wheeler, M. F., “Parallel domain decomposition
method for mixed finite elements for elliptic partial differential equations,”
Fourth International Symposium on Domain Decomposition Methods for Partial Differential
Equations, SIAM (1991), pp. 358-373.
36. Chilakapati, A., Miller, C. A., and Wheeler, M. F., “Modeling of three-dimensional
unstable miscible displacement in porous media,” Proceedings of IMACS
'91, Trinity College, Dublin (1991), pp. 609-610.
37. Arbogast, T., Chilakapati, A., and Wheeler, M. F., “A characteristic-mixed
method for contaminant transport and miscible displacement,” Computational
Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources,
T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds.,
Computational Mechanics Publications, Southampton, U.K. (1992), pp. 77-84.
38. Chilakapati, A., Robertson, K. R., and Wheeler, M. F., “Three-dimensional
bioremediation modeling in heterogeneous porous media,” Computational
Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources,
T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds.,
Computational Mechanics Publications, Southampton, U.K. (1992), pp. 299-316.
39. Chippada, S., Ramaswamy, B., and Wheeler, M. F., “Mixed finite element
methods for flow through unsaturated porous media,” Computational Methods
in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, T. F. Russell,
R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Computational
Mechanics Publications, Southampton, U.K. (1992), pp. 239-246.
40. Cowsar, L. C., Weiser, A., and Wheeler, M. F., “Parallel multigrid
and domain decomposition algorithms for elliptic equations,” Proceedings
of the Fifth International Symposium on Domain Decomposition Methods for Partial
Differential Equations, D. E. Keyes, T. F. Chan, G. Meurant, J. Scroggs, and
R. G. Voigt, eds., SIAM (1992), pp. 376-385.
41. Cowsar, L. C., Dean, E. J., Glowinski, R., LeTallec, P., Li, C. H., Périaux,
J., and Wheeler, M. F., “Decomposition principles and their applications
in scientific computing,” Proceedings of the Fifth SIAM Conference on
Parallel Processing for Scientific Computing, J. Dongarra, K. Kennedy, P. Messina,
D. Sorensen, and R. Voigt, eds., SIAM (1992), pp. 213-237.
42. Arbogast, T., Obeyesekere, M., and Wheeler, M. F., “Simulation of
flow in root-soil systems,” Computational Methods in Water Resources IX,
Vol. 1: Numerical Methods in Water Resources, T. F. Russell, R. E. Ewing, C.
A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Computational Mechanics Publications,
Southampton, U.K. (1992), pp. 195-203.
43. Dawson, C. N., and Wheeler, M. F., “Time-splitting methods for advection-diffusion-reaction
equations arising in contaminant transport,” Proceedings of ICIAM '91,
R. O'Malley, ed. SIAM, Philadelphia (1992), pp. 71-82.
44. Chippada, C., Cowsar, L. C., Ramaswamy, B., Tetzlaff, R., and Wheeler, M.
F., “Two-dimensional modeling of flow and sedimentation,” Finite
Elements in Fluids, New Trends and Applications: Part II, O. C. Zienkowicz,
ed., Centre Internacional de Metodes Numericos en Ingenuro, Barcelona, Spain
(1993), pp. 796-805.
45. Greenberg, J. K., Pavarino, L., Rame, M., and Wheeler, M. F., “Chemical
flood simulation on distributed memory parallel computers,” Proceedings
of Panel '93, XIX Latin American Conference in Operations Research, Buenos Aires,
Argentina (1993), pp. 134- 156.
46. Arbogast, T., and Wheeler, M. F., “A parallel numerical model for
subsurface contaminant transport with biodegradation kinetics,” Proceedings
of Mathematics of Finite Elements and Applications VIII, J. R. Whiteman, ed.
(1994), pp. 199 -213.
47. Arbogast, T., Dawson, C. N., and Wheeler, M. F., “A parallel multiphase
numerical model for subsurface contaminant transport with biodegradation kinetics,”
Computational Methods in Water Resources X, A. Peters, G. Wittum, B. Herrling,
U. Meissner, C. A. Brebbia, W. G. Gray, and G. F. Pindar, eds., Kluwer Academic
Publishers, Dordrecht, The Netherlands (1994), pp. 1499-1506.
48. Arbogast, T., Wheeler, M. F., and Yotov, I., “Logically rectangular
mixed methods for groundwater flow and transport on general geometry,”
Computational Methods in Water Resources X, A. Peters, G. Wittum, B. Herrling,
U. Meissner, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Kluwer Academic
Publishers, Dordrecht, The Netherlands (1994), pp. 149-156.
49. Dawson, C. N., and Wheeler, M. F., “Two-grid methods for mixed finite
element approximations of nonlinear parabolic equations,” Domain Decomposition
Methods in Scientific and Engineering Computing (University Park, PA, 1993),
Contemporary Mathematics 180, American Mathematics Society (1994), pp.191-203.
50. Wheeler, M. F., and Yotov, I., “Mixed finite element methods for modeling
flow and transport in porous media,” Mathematical Modeling of Flow through
Porous Media, A. Bourgeat, C. Carasso, S. Luckhaus, and A. Mikelic, eds., World
Scientific, London (1995), pp. 337-358.
51. Arbogast, T., Dawson, C. N., and Wheeler, M. F., “A parallel algorithm
for two phase multicomponent contaminant transport,” Proceedings of the
2nd Summer Conference ‘Numerical Modeling in Continuum Mechanics,’
Part I (Prague 1994), Applications of Mathematics, vol. 40 (1995), no. 3, pp.
163-174.
52. Arbogast, T., Keenan, P. T., Wheeler, M. F., and Yotov, I., “Logically
rectangular mixed methods for Darcy flow on general geometry,” SPE 29099,
Proceedings of the 13th SPE Symposium on Reservoir Simulation, Society of Petroleum
Engineers (1995), pp. 51-59.
53. Ghoir, S. F., Lim, M. T., Pope, G. A., Sephernoori, K., Wang, C., and Wheeler,
M. F., “Compositional reservoir simulation on CM-5 and KSR1 parallel machines,”
SPE 291400, Proceedings of the 13th SPE Symposium on Reservoir Simulation, Society
of Petroleum Engineers (1995), pp. 479-491.
54. Chippada, S., Dawson, C. N., Martinez, M., Wheeler, M. F., “Parallel
computing for finite element models of surface water flow,” Computational
Methods in Water Resources XI, vol. 2, A. A. Aldama, et al., eds., Computational
Mechanics Publications, Southampton, U.K. (1996), pp. 63-70.
55. Klie, H. M., Ramé, M., Wheeler, M. F., “Hybrid Krylov-secant
methods for nonlinear equations arising in porous media applications,”
Computational Methods in Water Resources XI, vol. 2, A. A. Aldama, et al., eds.,
Computational Mechanics Publications, Southampton, U.K. (1996), pp. 467-481.
56. Bryant, S., Saaf, F., Tapia, R., and Wheeler, M. F., “Computing general
chemical equilibria with an interior-point method,” Computational Methods
in Water Resources XI, vol. 2, A. A. Aldama, et al., eds., Computational Mechanics
Publications, Southampton, U.K. (1996), pp. 201-209.
57. Arbogast, T., Wheeler, M. F., and Yotov, I., “Logically rectangular
mixed methods for flow in irregular heterogeneous domains,” Computational
Methods in Water Resources XI, A. A. Aldama, et al., eds., Computational Mechanics
Publications, Southampton, U.K. (1996), pp. 621-628.
58. Chippada, S., Dawson, C. N., Martinez, M., and Wheeler, M. F., “Numerical
simulation of the shallow water equations,” Proceedings of the ASME Fluids
Engineering Division Summer Meeting, vol. 3, American Society of Mechanical
Engineers, New York (1996), pp. 409-414.
59. Arbogast, T., Dawson, C. N., Keenan, P. T., Wheeler, M. F., and Yotov, I.,
“The application of mixed methods to subsurface simulation,” Modeling
and Computation in Environmental Sciences, R. Helmig, et al., eds., Notes on
Numerical Fluid Mechanics 59, Verlag-Vieweg, Wiesbaden (1997), pp. 1-13.
60. Arbogast, T., Dawson, C. N., Parashar, M., Sephernoori, K., Wang, P., Wheeler,
M. F., and Yotov, I., “A new generation EOS compositional reservoir simulator.
Part I: formulation and discretization,” SPE 37979, 1997 SPE Reservoir
Simulation Symposium (1997).
61. Wheeler, M. F., and Yotov, I., “Domain decomposition mixed methods
for multiphase groundwater flow in multiblock aquifers,” Computational
Methods in Water Resources XII, Crete, Greece (1998).
62. Wheeler, M. F., and Yotov, I., “Mortar mixed finite element approximations
for elliptic and parabolic equations,” Ninth International Conference
on Approximation Theory, C. K. Shui and L. L. Schumacher, eds., Vanderbilt University
Press (1998).
63. Wheeler; M. F., Arbogast, T., Bryant, S., and Eaton, J., “Efficient
parallel computation of spatially heterogeneous geochemical reactive transport,”
Computational Methods in Water Resources XII, Crete, Greece (1998), pp. 453-460.
64. Wheeler, M. F., and Yotov, I., “Physical and computational domain
decompositions for modeling subsurface flows,” Tenth International Conference
on Domain Decomposition Methods, Contemporary Mathematics, J. Mandel et al.,
eds., American Mathematical Society, vol. 218 (1998), pp. 217-228.
65. Wheeler, M. F., Dawson, C. N., and Eaton, J., “Transport of multispecies
contaminants with biological and chemical kinetics in porous media,” Modeling
and Computation for Applications in Mathematics, Science, and Engineering (Evanston,
IL, 1996), Numerical Mathematics and Scientific Computation, Oxford Univ. Press,
New York (1998), pp. 25-37.
66. Arbogast, T., Bryant, S., Eaton, J., Lu, Q., Peszynska, M., Wheeler, M.
F., and Yotov, I., “A parallel multiblock/multidomain approach for reservoir
simulation,” Fifteenth SPE Symposium on Reservoir Simulation, Society
of Petroleum Engineers (1999), pp. 51-61.
67. Arguello, J. G., Bryant, S., Eaton, J., Minkoff, S., Peszynska, M., Stone,
C. M., and Wheeler, M. F., “Staggered in time coupling of reservoir flow
simulation and geomechanical deformation: Step one—one-way coupling,”
Fifteenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers
(1999), pp. 329-330.
68. Peszynska, M., Lu, Q., Wheeler, M. F., “Coupling different numerical
algorithms for two phase fluid flow,” The Mathematics of Finite Elements
and Applications X, J. R. Whiteman, ed., Brunel University, Uxbridge, Middlesex,
United Kingdom (1999), pp. 205-214.
69. Peszynska, M., Lu, Q., Wheeler, M. F., “Multiphysics coupling of codes,”
Computational Methods in Water Resources, Vol. 1: Computational Methods for
Subsurface Flow and Transport, L. R. Bentley, J. F. Sykes, C. A. Brebbia, W.
G. Gray, and G. F. Pinder, eds., A.A. Balkema (2000), pp. 175-182.
70. Wheeler, M. F., Wheeler, J. A., Peszynska, M., “A distributed computing
portal for coupling multi-physics and multiple domains in porous media,”
Computational Methods in Water Resources, Vol. 1: Computational Methods for
Subsurface Flow and Transport, L. R. Bentley, J. F. Sykes, C. A. Brebbia, W.
G. Gray, and G. F. Pinder, eds., A. A. Balkema (2000), pp. 167-174.
71. Lee, W., Noh, M., Wheeler, M. F., “Air-water flow simulation in unsaturated
porous media,” Computational Methods in Water Resources, Vol. 1: Computational
Methods for Subsurface Flow and Transport, L. R. Bentley, J. F. Sykes, C. A.
Brebbia, W. G. Gray, and G. F. Pinder, eds., A. A. Balkema (2000), pp. 93-100.
72. Arnold, D. C., Lee, W., Dongarra, J., Wheeler, M. F., “Providing infrastructure
and interface to high-performance applications in a distributed setting,”
High Performance Computing 2000, A. Tentner, ed., SCS, (2000), pp. 248-253.
73. Wheeler, M. F., Peszynska, M., and Dawson, C. N., “Multiphysics couplings
for environmental problems,” Proceedings of the DOD Users Group Conference
(2000), Albuquerque, New Mexico.
74. Wheeler, M. F., Peszynska, M., Gai, X., El-Domeiri, O., “Modeling
subsurface flow on a PC cluster,” High Performance Computing 2000, A.
Tentner ed., SCS, (2000), pp. 318-323.
75. Wheeler, M. F., Rivière, B., and Dawson, C. N., “Discontinuous
Galerkin methods for flow and reactive transport diffusion,” Proceedings
of the DOD Users Group Conference, (2000), Albuquerque, New Mexico.
76. Dawson, C. N., Parr, V. J., and Wheeler, M. F., “Issues in parallel
computation of flow and transport in surface waters,” Proceedings of the
International Conference on Parallel and Distributed Processing Techniques and
Applications, vol. 1, H. R. Arabnia ed., Las Vegas, NV, June 26-29, CSREA Press,
(2000), pp. 21-27.
77. Rivière, B., Wheeler, M. F., and Jenkins, E., “Locally conservative
algorithms for flow,” Proceedings of the DoD Users Group Conference, Biloxi,
Mississippi, (2001).
78. Rivière, B., and Wheeler, M. F., “Miscible displacement in
porous media,” Developments in Water Science, Computational Methods in
Water Resources. ed. S. M. Hassanizadeh, R. J. Schotting, W. G. Gray and G.
F. Pinder. Elsevier, vol. 1, 2002, pp. 907-914.
79. Guillot, M., Rivière, B., and Wheeler, M. F., “Discontinuous
Galerkin methods for mass conservation equations for environmental modeling,”
Developments in Water Science, Computational Methods in Water Resources. ed.
S. M. Hassanizadeh, R. J. Schotting, W. G. Gray and G. F. Pinder. Elsevier,
vol. 1, 2002, pp. 947-955.
80. Jenkins, E. W., Wheeler, M. F., and Wheeler, J. A., “Agglomeration
multigrid methods for two-phase flow models,” Developments in Water Science,
Computational Methods in Water Resources. ed. S. M. Hassanizadeh, R. J. Schotting,
W. G. Gray and G. F. Pinder. Elsevier, vol. 1, 2002, pp. 939-946.
81. Wheeler, M. F., Sun, S., Eslinger, O., and Rivière, B., “Discontinuous
Galerkin method for modeling flow and reactive transport in porous media,”
Analysis and Simulation of Multifield problems—Lecture Notes in Applied
Computational Mechanics, eds. W. L. Wendland and M. Efendiev. Springer, vol
12, 2003, pp. 37-56.
82. Parashar, M., Klie, H., Catalyurek, U., Kurc, T., Matossian, V., Saltz,
J., and Wheeler, M. F., “Application of Grid-enabled technologies for
solving optimization problems in data-driven reservoir studies,” International
Conference on Computational Science, Krakow, Poland, 2004.
83. Gai, X, Dean, R. H., Wheeler, M. F. and Liu, R. “Coupled geomechanical
and reservoir modeling on parallel computers,” SPE 79700, Proceedings
of SPE Reservoir Simulation Sysmposium, Houston, TX, February 3-5, 2003.
84. Klie, H., Bangerth, W., Wheeler, M. F., Parashar, M., and Matossian, V.,
“Parallel well location optimization using stochastic algorithms on the
Grid computational framework,” to appear in ECMOR IX 2004, the European
Association of Geoscientists & Engineers, September 2004.
85. Parashar, M., Klie, H., Catalyurek, U., Kurc, T., Matossian, V., Saltz,
J., and Wheeler, M. F., “Application of Grid-enabled technologies for
solving optimization problems in data-driven reservoir studies,” International
Conference on Computational Science, Krakow, Poland, 2004.
86. Gai, X, Dean, R. H., Wheeler, M. F. and Liu, R. “Coupled geomechanical
and reservoir modeling on parallel computers,” SPE 79700, Proceedings
of SPE Reservoir Simulation Sysmposium, Houston, TX, February 3-5, 2003.
87. Klie, H., Bangerth, W., Wheeler, M. F., Parashar, M., and Matossian, V.,
“Parallel well location optimization using stochastic algorithms on the
Grid computational framework,” to appear in ECMOR IX 2004, the European
Association of Geoscientists & Engineers, September 2004.
88. Parashar, M., Klie, H., Catalyurek, U., Kurc, T., Matossian, V., Saltz,
J., and Wheeler, M. F., “Application of Grid-enabled technologies for
solving optimization problems in data-driven reservoir studies,” International
Conference on Computational Science, Krakow, Poland, 2004.
89. Klie, H. and Wheeler, M.F., “Krylov-secant Methods for Accelerating
the Solution of Fully Implicit Formulation,” SPE Reservoir Simulation
Symposium, The Woodlands, Texas, 2005. SPE#92863
90. Rungamornrat, J., Mear, M., and Wheeler, M. F., “A Numerical Technique
for Simulation Non-planar Evolution of Hydraulic Fractures,” 2005 SPE
Annual Technical Conference, Dallas, Texas. SPE #96968.
91. Gai, X, Sun, Shuyu, Klie, H., and Wheeler, M. F., “A Time Stepping
Scheme for Coupled Reservoir Flow and Geomechanics on Non-Matching Grids,”
2005 SPE Annual Technical Conference, Dallas, Texas. SPE #97054.
92. Sun, S. and Wheeler, M.F., “Streamline Tracing on Unstructured Grids,”
2005 SPE Annual Technical Conference, Dallas, Texas. SPE# 96947.
93. Parashar, M., Matossian, V., Bangerth, W., Klie, H., Rutt, B., Kurc, T.,
Catalyurek, U., Saltz, J., and Wheeler, M. F., “Towards Dynamic Data-Driven
Optimization of Oil Well Placement”, Lecture Notes in Computer Science,
vol. 3515 (2005), pp. 656-663.
94. Gai, X., J. Rungamornrat, H. Klie , M.F. Wheeler , P.L. Stoffa, M. K. Sen
and R. Seifoullaev. “Fully Integrated Reservoir Flow, Geomechanics and
Seismic Modeling: A Tool for Better Reservoir Characterization and Geomechanical
Prediction Using 4D Seismic,” 75th SEG International Exposition &
Annual Meeting. Houston, Nov. 6-11, 2005.
95. Stoffa, P.L., M. K. Sen, R. Seifoullaev, H. Klie, X. Gai, J. Rungamornrat,
and M. F. Wheeler. “An Analysis of Flow-Simulation Scales and Seismic
Response,” 75th SEG International Exposition & Annual Meeting. Houston,
Nov. 6-11, 2005.
96. Klie H., M.F. Wheeler, T. Clees, K. Stuben “Deflation AMG Solvers
for Highly III-Conditioned Reservior Simulation Problems” SPE Reservior
Simulation Symposium Houston Feb. 26-28, 2007.
97. Rodriguez A.A., H. Klie, M.F. Wheeler, U of Texas at Austin; R. Banchs,
Polytechnic U. of Catalonia. “Assesing Multiple Resolution Scales in History
Matching With Metamodels” SPE Reservior Simulation Symposium Houston Feb.
26-28, 2007.
98. Stuben K., T. Clees, Fraunhofer Inst. SCAI; H. Klie, B. Lu, M.F. Wheeler,
U of Texas at Austin; “Algebraic Multigrid Methods (AMG) for the Efficient
Solution of Fully Implicit Formulations in Reservoir Simulation” ”
SPE Reservior Simulation Symposium Houston Feb. 26-28, 2007.
99. Wheeler, M.F. Pencheva, G., Thomsas, S., and Yotov, I., “Multiscale
mixed finite elements for multiphase flow in porous media,” B013, ECMOR
Proceedings 2006, Amsterdam, The Netherlands, 2006.
100. Klie, H.M., Wheeler, M. F., Liu, G., and Zhang, D., “Stochastic subspace
projection methods for efficient multiphase flow uncertainty assessment,”
B004, ECMOR Proceedings 2006, Amsterdam, The Netherlands, 2006.
101. Rodriguez,A.A., Klie, H.M., Wheeler, M.F., “A Multiscale and metamodel
simulation-based method for history matching,” A029, ECMOR Proceedings
2006, Amsterdam, The Netherlands, 2006.
102. Gildin, E., Klie, H. M., Wheeler, M.F., Bishop, R., “Projection-based
approximation methods for the optimal control of smart oil fields,” A038,
ECMOR Proceedings 2006, Amsterdam, The Netherlands, 2006.
103. Lu, B., Alshaalan, T., and Wheeler, M.F., “Iteratively coupled reservoir
simulation for multiphase flow in porous media,” 2007 SPE Annual Technical
Conference and Exhibition, Anaheim, CA, November 2007. SPE# 110114.
104. Balhoff, M., Wheeler, M.F., “A predictive pore-scale model for non-darcy
flow in anisotropic porous media,” presented at SPE Annual Technical Conference
and Exhibition, Anaheim, CA, November 2007. SPE# 110838.
105. Gildin, E., Klie, H., Rodriguez, A., Wheeler, M.F., “Large-Scale
Control in Porous Media Flow,” presented at the SIAM Conference on Control
and its Applications, San Francisco, CA, June, 2007.
106. Gildin, E., Klie, H., Rodriguez, A., Wheeler, M.F., “Low-Order Approximation
Methods for Oil Reservoir Simulation and Control, ” presented at the SIAM
Conference on Mathematical & Computational Issues in the Geosciences, Santa
Fe, NM, March, 2007.
107. Gildin, E., Wheeler, M.F., “Control of Subsurface Flow Using Model
Predictive Control Techniques,” In Proceeding of the International Conference
on Engineering Optimization, Brazil, June 2008.
108. Gildin, E., Wheeler, M.F., “Optimal Subsurface Flow Management using
Model Predictive Control Techniques,” accepted at the European Conference
on the Mathematics of Oil Recovery, ECMOR XI, Bergen, Norway, September 2008.
109. Delshad, M., Thomas, S., Wheeler, M.F., “Modeling CO2 sequestration
using a sequentially coupled ‘iterative IMPEC, time-split thermal’
compositional simulator,” accepted at XI European Conference on the Mathematics
of Oil Recovery (ECMOR), Bergen, Norway, Sep. 2008.
110. Pencheva, G., Thomas, S., Wheeler, M.F., “Mortar coupling of discontinuous
Galerkin and mixed finite element methods,” XI European Conference on
the Mathematics of Oil Recovery (ECMOR), Bergen, Norway, Sep. 2008.
111. Gildin, E., Klie, H., Wheeler, M.F., “Model-order Reduction of Large-Scale
Reservoir Models using Tensor Decompositions,” in preparation, 2008.
1. Numerical Simulation in Oil Recovery, M. F. Wheeler author, IMA
Series 2. New York: Springer-Verlag, 1987.
2. Computational Methods in Geosciences. M. F. Wheeler and W. Fitzgibbon
eds. SIAM, 1992.
3. Modeling and Analysis of Diffusive and Advective Processes in Geosciences.
M. F. Wheeler, and W. Fitzgibbon eds. SIAM, 1992.
4. Wave Propagation and Inversion. M. F. Wheeler and W. Fitzgibbon
eds. SIAM, 1992.
5. Environmental Studies, Mathematical, Computational, and Statistical Analysis.
vol. 79. M. F. Wheeler ed. Springer, 1996.
6. Next Generation Environmental Models and Computational Methods.
G. Delic and M. F. Wheeler eds. SIAM, 1997.
7. Computational Science for the 21st Century. M. O. Bristeau, G. Etgen,
W. Fitzgibbon, J. L. Lion, J. Periaux, and M. F. Wheeler eds. Strasbourg: Wiley-Interscience-Europe,
1997.
8. The IMA Volumes in Mathematics and its Applications: Resource Recovery,
Confinement, and Remediation of Environmental Hazards, vol. 131. J. Chadam,
A. Cunningham, R. E. Ewing, P. Ortoleva, and M. F. Wheeler eds. New York: Springer-Verlag,
2002.
1. Wheeler, M. F., and Young Jr., D. M., “Alternating direction method
for solving partial differential equations,” Nonlinear Problems of Engineering,
William F. Ames, ed., Academic Press, Inc., 1964, pp. 220-246.
2. Douglas Jr., J., Kendall, R. P., and Wheeler, M. F., “Long wave regularization
of one-dimensional two-phase immiscible flow in porous media,” Finite
Element Methods for Convection Dominated Flows, vol. 35, T. J. R. Hughes, ed.,
ASME, AMD, 1979, pp. 201-212.
3. Darlow, B. and Wheeler, M. F., “Interior penalty Galerkin procedures
for miscible displacement problems in porous media,” Computational Methods
in Nonlinear Mechanics, Chapter 24, J. T. Oden, ed., North Holland, 1980, pp.
485-506.
4. Ewing, R., and Wheeler, M. F., “Galerkin methods for miscible displacement
problems with point sources and sinks—unit mobility ratio,” Mathematical
Methods in Energy Research, K. Gross, ed., SIAM Publications, 1983, pp. 40-59.
5. Russell, T. F., and Wheeler, M. F., “Finite element and finite difference
methods for continuous flows in porous media,” Mathematics of Reservoir
Simulation, R. E. Ewing, ed., Philadelphia, SIAM Publications, 1983, pp. 35-106.
6. Moissis, D. E., and Wheeler, M. F., “Effect of the structure of the
porous media on unstable miscible displacement,” Dynamics of Fluids in
Hierarchical Porous Media, Chapter IX, Academic Press, 1990, pp. 243-271.
7. Arbogast, T., Bryant, S., Dawson, C., Saaf, F., Wang, C., and Wheeler, M.
F., “New computational approaches for chemically reactive transport,”
Next Generation Environmental Models and Computational Methods, G. Delic and
M. F. Wheeler, ed., Philadelphia, SIAM Publications, 1997, pp. 217-226.
8. Wheeler, M. F., Dawson, C. N., and Celentano, C., “Multicomponent,
multiphase flow and transport in porous media,” Mathematics of Finite
Elements and Applications: Highlights 1996, J. R. Whiteman, ed., Chichester,
John Wiley & Sons, 1997, pp. 223-224.
9. Eaton, J., Dawson, C. N., Wheeler, M. F., “Transport of multispecies
components with biological and chemical kinetics,” Modeling and Computation
for Applications in Mathematics, Science, and Engineering, J. Jerome, ed., Oxford,
England, Oxford University Press, 1997.
10. Wheeler, M. F., “Transport of multispecies contaminants in porous
media,” Nonlinear Applications, Institut National de la Recherche en Informatique
et en Automatique, 1997, pp. 1-70.
11. Wheeler, M. F., Lee, W., Dawson, C. N., Arnold, D. C., Kurc, T., and Parashar,
M., "Parallel computing in environment and energy," Sourcebook of
Parallel Computing, J. Dongarra, I. Foster, G. Fox, W. Gropp, K. Kennedy, L.
Torczon, and A. White eds. Morgan Kaufman Pubs., Boston. Chapter 6, pp. 145-166
(2003).
12. Wheeler, M. F. and Yotov, I., “A cell-centered finite difference method
on quadrilaterals,” in Compatible Discretization for Partial Different
Equations, Springer, IMA Vol., 142, Pages 189-208.
13. Wheeler, M. F. and Yotov, I., “A cell-centered finite difference method
on quadrilaterals,” in Compatible Spatial Discretizations, eds. Douglas
N. Arnold, Pavel B. Bochev, Richard B. Lehoucq, Roy A. Nicolaides, and Mikhail
Shashkov Springer, IMA, New York, Vol., 142, Pages 189-208, 2005.
1. Wheeler, M. F. and Dawson, C. N., “An operator-splitting method for
advection-diffusion-reaction problems,” Rice TR87-09.
2. Gonzalez, R. and Wheeler, M. F., “Domain decomposition for elliptic
partial differential equations with Neumann boundary conditions,” Rice
TR87-10.
3. Glowinski, R. and Wheeler, M. F., “Domain decomposition and mixed finite
element methods for elliptic problems,” Rice TR87-11.
4. Moissis, D. E., Miller, C. A., and Wheeler, M. F., “A parametric study
of viscous fingering in miscible displacement by numerical simulation,”
Rice TR87-18.
5. Wheeler, M. F., Dawson, C. N., and Kinton, W. A., “Time-splitting for
advection-dominated parabolic problems in one-space variable,” Rice TR87-24.
6. Dawson, C. N., Russell, T. F., and Wheeler, M. F., “Some improved error
estimates for the modified method of characteristics,” Rice TR88-02.
7. Dawson, C. N., Dupont, T. F., and Wheeler, M. F., “The rate of convergence
of the modified method of characteristics for linear advection equations in
one dimension,” Rice TR88-03.
8. Dupont, T. F., Glowinski, R., Kinton, W. A., and Wheeler, M. F., “Mixed
finite element methods for time dependent problems: application to control,”
Rice TR89-10.
9. Chiang, C., Dawson, C. N., and Wheeler, M. F., “Modeling of in-situ
biorestoration of organic compounds in groundwater,” Rice TR90-31.
10. Cowsar, L. C. and Wheeler, M. F., “Parallel domain decomposition method
for mixed finite elements for elliptic partial differential equations,”
Rice TR90-37.
11. Arbogast, T., Obeyesekere, M., and Wheeler, M. F., “Numerical methods
for the simulation of flow in root-soil systems,” Rice TR91-07.
12. Arbogast, T., Obeyeskere, M., Wheeler, M. F., “Simulation of flow
in root-soil systems,” Rice TR91-14.
13. Cowsar, L. C., Weiser, A., and Wheeler, M. F., “Parallel multigrid
and domain decomposition algorithms for elliptic equations,” Rice TR91-54.
14. Arbogast, T., Chilakapati, A., and Wheeler, M. F., “A characteristic-mixed
method for contaminant transport and miscible displacement,” Rice TR92-06.
15. Wheeler, M. F. and Whiteman, J. R., “Superconvergence of recovered
gradients of discrete time/piecewise linear Galerkin approximations for linear
and nonlinear parabolic problems,” Rice TR92-07.
16. Dawson, C. N. and Wheeler, M. F., “Time-splitting methods for advection-diffusion-reaction
equations arising in contaminant transport,” Rice TR92-12.
17. Wheeler, M. F. and Whiteman, J. R., “Superconvergence of recovered
gradients of discrete time/piecewise linear Galerkin approximations for linear
and nonlinear parabolic problems,” Rice TR92-07.
18. Wheeler, M. F., Roberson, D., and Chilakapati, A. “Three-dimensional
bioremediation modeling in heterogeneous porous media,” Rice TR92-15.
19. Dawson, C. N., van Duijn, C. J., and Wheeler, M. F. “Characteristic-Galerkin
methods for contaminant transport with non-equilibrium absorption kinetics,”
Rice TR92-27.
20. Chilakapati, A. and Wheeler, M. F., “Convergence and material balance
with MMOC-Galerkin,” Rice TR92-31.
21. Wheeler, M. F. and Arbogast, T., “A characteristics-mixed finite element
method for advection dominated transport problems,” Rice TR92-37.
22. Shaw, S., Warby, M. K., Whiteman, J. R., Dawson, C. N., and Wheeler, M.
F., “Numerical techniques for the treatment of quasistatic solid viscoelastic
stress problems,” Rice TR93-02.
23. Cowsar, L. C., Mandel J., and Wheeler, M. F., “Balancing domain decomposition
for mixed finite elements,” Rice TR93-08.
24. Ramé, M., Pavarino, L., Greenberg, A., Jordan, K., and Wheeler, M.
F., “Parallel chemical flood simulation: an implementation of UTCHEM on
distributed memory processors,” Rice TR93-23.
25. Arbogast, T. and Wheeler, M. F., “A parallel numerical model for subsurface
contaminant transport with biodegradation kinetics,” Rice TR93-32.
26. Cowsar, L. C., Dupont, T. F., and Wheeler, M. F., “A priori estimates
for the mixed finite element approximation of second order hyperbolic equations
with absorbing boundary conditions.” Rice TR93-45.
27. Dawson, C. N. and Wheeler, M. F., “Two-grid methods for mixed finite
element approximations of nonlinear parabolic equations,” Rice TR94-01.
28. Arbogast, T., Wheeler, M. F., and Yotov, I., “Mixed finite elements
for elliptic problems with tensor coefficients as finite differences,”
Rice TR94-02.
29. Arbogast, T., Wheeler, M. F., and Yotov, I., “Logically rectangular
mixed methods for groundwater flow and transport on general geometry,”
Rice TR94-03.
30. Arbogast, T., Dawson, C. N., and Wheeler, M. F., “A parallel multiphase
numerical model for subsurface contaminant transport with biodegradation kinetics,”
Rice TR94-07.
31. Arbogast, T., Wheeler, M. F., and Zhang, N., “A nonlinear mixed finite
element method for a degenerate parabolic equation arising in flow in porous
media,” Rice TR94-17.
32. Arbogast, T., Keenan, P. T., Wheeler, M. F., and Yotov, I., “Logically
rectangular mixed methods for Darcy flow on general geometry,” Rice TR94-40.
33. Arbogast, T., Wheeler, M. F., and Yotov, I., “Mixed finite elements
for elliptic problems with tensor coefficients as cell-centered finite differences,”
Rice TR95-06.
34. Arbogast, T., Dawson, C. N., Keenan, P., Wheeler, M. F., and Yotov, I.,
“Implementation of mixed finite element methods for elliptic equations
on general geometry,” Rice TR95-07.
35. Oden, J. T., Wheeler, M. F., and Feng, Y., “Local and pollution error
estimation for finite element approximations of elliptic boundary value problems,”
TICAM 95-03.
36. Klie, H., Ramé, M., and Wheeler, M. F., “Krylov-secant methods
for solving systems of nonlinear equations,” TICAM 95-12 and Rice TR95-27.
37. Dawson, C. N., San Soucie, C., and Wheeler, M. F. “A two-grid finite
difference scheme for nonlinear parabolic equations,” TICAM 95-14 and
Rice TR95-32.
38. Wheeler, M. F., Arbogast, T., Bryant, S., Dawson, C. N., Saaf, F., and Wang,
C., “New computational approaches for chemically reactive transport in
porous media,” TICAM 95-17.
39. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “Finite
element approximations to the system of shallow water equations. Part I: continuous
time a priori error estimates,” TICAM 95-18 and Rice TR95-35.
40. Klie, H., Ramé, M., and Wheeler, M. F., “Two-stage preconditioners
for inexact Newton methods in multi-phase reservoir simulation,” Rice
TR96-02.
41. Arbogast, T. and Wheeler, M. F., “Computational aspects of dual-porosity
models,” TICAM 96-01.
42. Arbogast, T., Dawson, C. N., Keenan, P. T., Wheeler, M. F., and Yotov, I.,
“The application of mixed methods to subsurface simulation,” TICAM
96-02.
43. Klie, H., Ramé, M., and Wheeler, M. F., “Fast Krylov-secant
solvers for systems of nonlinear partial differential equations,” Rice
TR96-30.
44. Dawson, C. N., Klie, H., San Soucie, C., and Wheeler, M. F., “A parallel,
implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov
solver,” TICAM 96-35.
45. Arbogast, T., Cowsar, L. C., Wheeler, M. F., and Yotov, I., “Mixed
finite element methods on non-matching multiblock grids,” TICAM 96-50.
46. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “A
Godunov-type finite volume method for the system of shallow water equations,”
TICAM 96-57.
47. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “Finite
element approximations to the system of shallow water equations. Part II: discrete
time a priori error estimates,” TICAM 96-34 and Rice TR96-16.
48. Chippada, S., Dawson, C. N., Martinez, M. L., and Wheeler, M. F., “Projection
method for constructing a mass conservative velocity field,” TICAM 97-09.
49. Chippada, S., Dawson, C. N., Parr, V. J., Wheeler, M. F., Cerco, C., Bunch,
B., and Noel, M., “PCE-QUAL-ICM: a parallel water quality model based
on CE-QUAL-ICM,” CEWES MSRC 98-10.
50. Wheeler, M. F., Dawson, C. N., Chippada, S., Martinez, M. and Parr, V. J.,
“Progress report: parallelization of ADCIRC3D,” CEWES MSRC 98-11.
51. Wheeler, M. F. and Yotov, I., “Multigrid on the interface for mortar
mixed finite element methods for elliptic problems,” TICAM 98-20.
52. Wheeler, M. F. and Yotov, I., “Physical and computational domain decompositions
for modeling subsurface flows,” TICAM 98-22.
53. Li, J. and Wheeler, M. F., “Uniform convergence and superconvergence
of mixed finite element methods on anistropically refined grids.” TICAM
99-02.
54. Rivière, B. and Wheeler, M. F., “Part I: improved energy estimates
for interior penalty, constrained and discontinuous Galerkin methods for elliptic
problems,” TICAM 99-09.
55. Rivière, B., Wheeler, M. F., and Baumann, C., “Part II: discontinuous
Galerkin method applied to a single-phase flow in porous media,” TICAM
99-10.
56. Wheeler, M. F. and Yotov, I., “Multigrid on the interface for mortar
mixed finite element methods for elliptic problems,” TICAM 98-20.
57. Wheeler, M. F. and Yotov, I., “Physical and computational domain decompositions
for modeling subsurface flows,” TICAM 98-22.
58. Li, J. and Wheeler, M. F., “Uniform convergence and superconvergence
of mixed finite element methods on anistropically refined grids,” TICAM
99-02.
59. Peszynska, M., Lu, Q., and Wheeler, M., “Coupling different numerical
algorithms for two phase fluid flow,” TICAM 99-24.
60. Rivière, B. and Wheeler, M. F., “Locally conservative algorithms
for flow,” TICAM 99-25.
61. Wheeler, M. F., and Rivière, B., “A discontinuous Galerkin
method applied to nonlinear parabolic equations,” TICAM 99-26.
62. Peszynska, M., Lu, Q., and Wheeler, M. F., “Multiphysics coupling
of codes.” TICAM 00-02.
63. Wheeler, M. F., Wheeler, J., and Peszynska, M., “A distributed computing
portal for coupling multi-physics and multiple domains in porous media,”
TICAM 00-03.
64. Rivière, B. and Wheeler, M. F., “A posteriori error estimates
and mesh adaptation strategy for discontinuous Galerkin methods applied to diffusion
problems,” TICAM 00-10.
65. Dawson, C. N., Parr, V. J., and Wheeler, M. F., “Issues in parallel
computation of flow and transport in surface waters,” TICAM 00-13.
66. Lacroix, S., Vassilevski, M., and Wheeler, M. F., “Iterative solvers
of the implicit parallel accurate reservoir simulator (IPARS), I: single processor
case,” TICAM 00-28.
67. Rivière, B., Wheeler, M. F., and Banas, K., “hp 3D flow simulations
with discontinuous Galerkin methods,” TICAM 00-29.
68. Rivière, B., and Wheeler, M. F., “Optimal error estimates for
discontinuous Galerkin methods applied to linear elasticity problems,”
TICAM 00-30.
69. Rivière, B., and Wheeler, M. F., “Discontinuous finite element
methods for acoustic and elastic wave problems. Part I: semidiscrete error estimates,”
TICAM 01-02.
70. Rivière, B., Wheeler, M. F., Shaw, S., and Whiteman, J. R., “Discontinuous
Galerkin finite methods for quasistatic linear viscoeleasticity,” TICAM
01-04.
71. Jenkins, E. W., Rivière, B., and Wheeler, M. F., “A priori
error estimates for mixed finite element approximation of the acoustic wave
equation,” TICAM 01-09.
72. Luong, P. V., Dawson, C. N., Wheeler, M. F., Breshears, C. P., and Ly, L.
N., “Application of Multiblock Grid and Dual-Level Parallelism in Ocean
Modeling,” TICAM 01-14.
73. Luong, P. V., Dawson, C. N., Wheeler, M. F., Breshears, C. P., and Ly, L.
N., “Comparison of Multiblock Grid and Domain Decomposition in Coastal
Ocean Circulation Modeling” TICAM 01-15.
74. Rivière, B., and Wheeler, M. F., “Coupling locally conservative
methods for single phase flow,” TICAM 01-22.
75. Rivière, B., and Wheeler, M. F., “Non-conforming methods for
transport with nonlinear reaction,” Texas Institute for Computational
and Applied Mathematics Report 01-29.
76. Peszynska, M., Jenkins, E. W., and Wheeler, M. F., “Boundary conditions
for fully implicit two-phase flow models,” Texas Institute for Computational
and Applied Mechanics Report 01-38.
77. Girault, V., Rivière, B., and Wheeler, M. F., “A discontinuous
Galerkin method with non-overlapping domain decomposition for the Stokes and
Navier-Stokes problems,” Texas Institute for Computational and Applied
Mechanics Report 02-08.
78. Guillot, M., Rivière, B., and Wheeler, M. F., “Implementation
of a discontinuous Galerkin discretization of the mass conservation equation
in CEQUAL-ICM,” Texas Institute for Computational and Applied Mathematics
Report 02-13.
79. Dawson, C., Sun, S., and Wheeler, M. F., “Compatible algorithms for
coupled flow and transport,” Texas Institute for Computational and Applied
Mathematics Report 03-12.
80. Dawson, C., Wheeler, M. F., and Pothina, D., “Coupled continuous and
discontinuous Galerkin finite element methods for coastal and ocean modeling,”
Texas Institute for Computational and Applied Mathematics Report 03-15.
81. Sun, S., and Wheeler, M. F., “A Posteriori error analyses for symmetric
discontinuous Galerkin approximations of reactive transport problems,”
Texas Institute for Computational and Applied Mathematics Report 03-19.
82. Peszynska, M., Doud, A., and Wheeler, M. F., ”Stochastic reservoir
simulations with GSLIB and two-phase and black-oil models under IPARS,”
Texas Institute for Computational and Applied Mathematics Report 03-30.
83. Wheeler, M. F. and Yotov, I., “A posteriori error estimates for the
mortar mixed finite element method,” Texas Institute for Computational
and Applied Mechanics Report 03-36, August 2003.
84. Sun, S., and Wheeler, M. F., “Energy norm a posteriori error estimation
for discontinuous Galerkin approximations of rective transport problems,”
Texas Institute for Computational and Applied Mathematics Report 03-39, August
2003.
85. Arbogast, T. and Wheeler, M. F., “A family of rectangular mixed elements
with a continuous lux for second-order elliptic problems,” Texas Institute
for Computational and Applied Mathematics Report 03-42, September 2003.
86. Sun, S., and Wheeler, M. F., “Discontinuous Galerkin Methods for Coupled
Flow and Reactive Transport Problems,” Texas Institute for Computational
and Applied Mathematics Report 03-49, December 2003.
87. Sun, S., and Wheeler, M. F., “Projection methods for constructing
a velocity field compatible with transport,” Texas Institute for Computational
and Applied Mathematics Report 04-16, March 2004.
88. Sun, S., and Wheeler, M. F., “Mesh adaptation strategies for discontinuous
Galerkin methods applied to reactive transport problems,” Texas Institute
for Computational and Applied Mathematics Report 04-41, August 2004.
89. Sun, S., and Wheeler, M. F., “Projection methods for constructing
a velocity field compatible with transport,” Texas Institute for Computational
and Applied Mathematics Report 04-16, March 2004.
90. Sun, S., and Wheeler, M. F., “Mesh adaptation strategies for discontinuous
Galerkin methods applied to reactive transport problems,” Texas Institute
for Computational and Applied Mathematics Report 04-41, August 2004.
91. Sun, S. and Wheeler, M. F., “Anisotropic and Dynamic Mesh Adaptation
for Discontinuous Galerkin Methods Applied to Reactive Transport,” Institute
for Computational Engineering and Sciences Report 05-15, March 2005.
92. Rungamornrat, J. and Wheeler, M. F., “Weakly-singular Integral Equations
for Steady-State Flow in Isotropic Porous Media,” Institute for Computational
Engineering and Sciences Report 05-30, July 2005.
93. Rungamornrat, J. and Wheeler, M. F., “Weakly-singular Integral Equations
for Darcy's Flow in Anisotropic Porous Media,” Institute for Computational
Engineering and Sciences Report 05-32, August 2005.
94. Klie, H., Bangerth, W., Gai, X., Wheeler, M.F., Stoffa, P.L., Sen, M., Parashar,
M., Catalyurek, U., Saltz, J., and Kurc, T., “Models, Methods and Middleware
for Grid-enabled Multiphysics Oil Reservoir Management,” Institute for
Computational Engineering and Sciences Report 05-34, August 2005.
95. Klie, H. and Wheeler, M.F., “Advanced Solver Methods for Subsurface
Environmental Problems,” Institute for Computational Engineering and Sciences
Report 05-36, August 2005.
96. Klie, H. and Wheeler, M. F., “Nonlinear Krylov-Secant Solvers,”
Institute for Computational Engineering and Sciences Report 06-02, January 2006.
1. “A priori L2 error estimates for Galerkin approximations to parabolic
partial differential equations,” AMS Meeting, University of Chicago, Chicago,
Illinois, April 1971.
2. “An optimal L? error estimate for Galerkin approximations to solutions
of two-point boundary value problems,” Finite Element Circus Meeting,
University of Maryland, College Park, Maryland, April 1972.
3. “L? estimates of optimal orders for Galerkin methods of one dimensional
second order parabolic and hyperbolic equations,” University of Chicago,
Chicago, Illinois, October 1973.
4. “Galerkin finite element methods for nonlinear parabolic equations,”
Los Alamos Scientific Laboratory, Los Alamos, New Mexico, November 1974.
5. “Collocation-Galerkin finite element methods for two-point boundary
value problems,” NSF-CBMS Conference on Two-Point Boundary Value Problems,
Texas Tech University. Lubbock, Texas, November 1975.
6. “A Crank-Nicolson H-1-Galerkin procedure for parabolic problems in
a single space variable,” AMS Meeting, University of Illinois, Urbana,
Illinois, March 1976.
7. “Role of mathematicians in business industry,” AMS Meeting: Mathematicians
in Business, Industry, and Government, San Antonio, Texas, January 1976.
8. “Superconvergence results for finite element methods for elliptic problems,”
Department of Engineering Mechanics, University of Texas, Austin, Texas, March
1976.
9. “Galerkin finite element methods for partial differential equations,”
Department of Mathematics, University of Texas, Austin, Texas, March 1976.
10. “Collocation-Galerkin finite element methods for two-point boundary
value problems,” Department of Mathematics, Texas A&M University,
College Station, Texas, April 1976.
11. “A quasi-projection analysis for superconvergence for finite element
methods,” Department of Mathematics, University of Texas, Austin, Texas,
June 1976.
12. “Professional master degree program in mathematical sciences,”
Texas Association of Academic Administrators in the Mathematical Sciences, Austin,
Texas, November 1976.
13. “Treatment of sources and sinks in steady-state reservoir engineering
simulations,” IMACS Conference, Lehigh University, Bethlehem, Pennsylvania,
June 1977.
14. “A local residual finite element method for elliptic problems,”
Department of Engineering Mechanics, University of Texas, Austin, Texas, July
1977.
15. “A C1 collocation finite element method for elliptic problems,”
Department of Mathematics. University of Chicago, Chicago, Illinois, March 1978.
16. “A C1 collocation finite element method for elliptic problems,”
AMS, Sectional Meeting, University of Houston, Houston, Texas, April 1978.
17. “Galerkin methods for miscible displacement in porous media,”
University of Chicago, Chicago, Illinois, June 1978.
18. “Self-adaptive Galerkin methods for nonlinear one-dimensional problems,”
University of Wisconsin, Milwaukee, Wisconsin, December 1978.
19. “A C1 finite element collocation method for elliptic equations,”
AMS National Meeting, Biloxi, Mississippi, January 1979.
20. “Self-adaptive Galerkin methods for one-dimensional, two-phase immiscible
displacement,” Fifth SPE Symposium on Reservoir Simulation, Denver, Colorado,
January 1979.
21. “L? boundedness of the finite element Galerkin operator for parabolic
problems,” Texas Institute for Computational Mechanics, Austin, Texas,
March 1979.
22. “C1 finite element collocation for elliptic equations,” Texas
Conference on Numerical Analysis, University of Houston, Houston, Texas, April
1979.
23. “Collocation Galerkin and H-1 methods for one-dimensional elliptic
and parabolic problems,” Invited Speaker, University of Mexico City, Mexico
City, Mexico, August 1979.
24. “Galerkin methods for miscible displacement problems in porous media,”
Department of Mathematics, University of Chicago, Chicago, Illinois, October
1979.
25. “Long wave regularization of one-dimensional two-phase immiscible
flow in porous media,” Invited Speaker, ASME Annual Winter Meeting, New
York City, New York, December 1979.
26. “A self-adaptive finite difference method for one-dimensional two-phase
immiscible flow,” Engineering Mechanics Department, University of Texas,
Austin, Texas, March 1980.
27. “Galerkin methods for miscible displacement in porous media,”
University of Durham. Durham, England, June 1980.
28. “Interior penalty Galerkin methods for coupled nonlinear systems,”
Mathematics Institute. Oberwolfach, West Germany, August 1980.
29. “Galerkin methods for miscible displacement problems with point sources
and sinks,” Mathematics Department, University of Maryland, College Park,
Maryland, 1981.
30. “Some recent results concerning the numerical solution of miscible
displacement in porous media,” Fifth International Symposium on Computing
Methods in Applied Sciences and Engineering, Versailles, France, December 1981.
31. “Modified method of characteristics for modeling flow in porous media,”
Mathematics Department, University of Freiborg, Freiborg, Germany, December
1981.
32. “Time stepping procedures for simulation of miscible displacement
using mixed methods for pressure approximation,” Mathematics Department,
University of Chicago, Chicago, Illinois, July 1982.
33. “Mixed finite element methods for computing Darcy velocities,”
Exxon Production Research, Long Range Research Division, Houston, Texas, July
1982.
34. “Advanced numerical algorithms for unstable miscible displacement
in porous media,” SIAM National Meeting (75th anniversary), Stanford University,
Palo Alto, California, July 1982.
35. “Characteristic methods for reservoir simulation,” Invited Speaker.
Gordon Conference at Proctor Academy, Andover, New Hampshire, August 1982.
36. “Some superconvergence results for mixed methods for elliptic problems,”
IMACS Meeting, Montreal, Canada, August 1982.
37. “Finite element methods for steam displacement in porous media,”
IBM Petroleum Reservoir Engineers Meeting, Palo Alto, California, August 1982.
38. “Interior penalty Galerkin methods for modeling advection-diffusion
problems,” 19th Annual Meeting, Society of Engineering Sciences, University
of Missouri, Rolla, Missouri, October 1982.
39. “Improved flux calculations for Galerkin finite element approximations,”
Regional Mathematics Meeting, Southwestern Louisiana University, Lafayette,
Louisiana, October 1982.
40. “Simulation of miscible displacement in porous media,” Applied
Mathematics and Physics. Columbia University, New York City, New York, November
1982.
41. “Mixed finite element methods for elliptic partial differential equations,”
IBM, Poughkeepsie, New York, November 1982.
42. “Galerkin methods for miscible displacement problems with point sources
and sinks,” Energy Year Conference, Mathematics Department, University
of Wyoming, Laramie, Wyoming, January 1983.
43. “Computational aspects of mixed finite element methods,” IBM
Petroleum Engineering Meeting, Palo Alto, California, January 1983.
44. “Mixed finite element methods for petroleum reservoir engineering
problems,” Mathematics Department, University of Houston, Houston, Texas,
April 1983.
45. “An implicit diffusive numerical procedure for slightly compressible
miscible displacement problems,” Dundee Meeting, Dundee, Scotland, June
1983.
46. “Implicit, time-dependent variable grid finite difference methods
for the approximation of a linear waterflood,” Self-Adaptive Mesh Modification
Workshop, NASA Langley, Hampton, Virginia, September 1983.
47. “The approximation of the pressure by a mixed method in the simulation
of miscible displacement,” Computer Science Department, Stanford University,
Palo Alto, California, November 1983.
48. “Some recent results concerning the numerical solution of miscible
displacement in porous media,” Invited Speaker, Sixth International Conference
on Computing Methods in Applied Sciences and Engineering, Versailles, France,
December 1983.
49. “Computing accurate velocities for fluid flow in porous media,”
Fifth International Conference on Finite Elements and Flow Problems, Austin,
Texas, January 1984.
50. “Some superconvergence results for mixed finite element methods for
elliptic problems on rectangular domains,” Institute for Fluid Dynamics,
University of Maryland, College Park, Maryland, April 1984.
51. “Some superconvergence results for mixed finite element methods for
elliptic problems on rectangular domains,” Mathematics of Finite Elements
and Applications 1984, Brunel University, Uxbridge, Middlesex, United Kingdom,
May 1984.
52. “Some superconvergence results for mixed finite element methods for
parabolic problems,” Joint Mexico-U.S. Meeting, Guanajuato, Mexico, July
1984.
53. “Large-scale simulation of miscible displacement by mixed and characteristic
finite element methods,” Joint Sweden-U.S. Mathematics Dahlquist Meeting,
Stockholm, Sweden, January 1985.
54. “Self-adaptive finite element simulation of miscible displacement
in porous media,” Brunel University, Uxbridge, Middlesex, United Kingdom,
January 1985.
55. “Analysis of a new method for computing the flow of miscible displacement
in porous media,” Exxon Production Research, Houston, Texas, March 1985.
56. “Finite element methods for modeling advection-diffusion-reaction
systems,” Invited Speaker, SIAM Meeting, Huntsville, Alabama, April 1985.
57. “Large-scale simulation of miscible displacement by mixed and characteristic
finite element methods,” Invited Speaker, Cray Research, Mendota Heights,
Minnesota, April 1985.
58. “Modeling contaminant transport in porous media,” Supercomputer
Workshop, Purdue University, West Lafayette, Indiana, September 1985.
59. “Self-adaptive finite element simulation of flow in porous media,”
Invited Speaker, Cray Research Supercomputer Meeting, Minneapolis, Minnesota,
October 1985.
60. “Finite element and finite difference methods for continuous flows
in porous media,” DOE Workshop Meeting, Sandia National Laboratory, Albuquerque,
New Mexico, December 1985.
61. “An analysis of a new method for computing the flow of miscible fluids
in porous media,” Mathematics Institute, University of Minnesota, Minneapolis,
Minnesota, December 1985.
62. “Time-stepping methods for mixed and characteristic finite element
approximations to miscible displacement in porous media,” Cornell University,
Ithaca, New York, March 1986.
63. “Large-scale modeling of problems in porous media,” Invited
Speaker, Supercomputer Workshop, University of Illinois, Urbana, Illinois, April
1986.
64. “Simulation of hydrocarbon biodegradation in groundwater,” Parallel
Computing Meeting, Loen, Norway, June 1986.
65. “Numerical simulation of microbial biodegradation of hydrocarbons
in groundwater,” Sixth International Symposium on Finite Element Methods
in Flow Problems, Antibes, France, June 1986.
66. “Domain decomposition and mixed finite element methods for elliptic
equations,” Invited Speaker, Domain Decomposition and Preconditioning
Workshop, Cornell University, Ithaca, New York, August 1986.
67. “Domain decomposition algorithms for elliptic and parabolic equations,”
First World Congress on Computational Mechanics, University of Texas, Austin,
Texas, September 1986.
68. “On convergence of block-centered finite differences for elliptic
problems,” American Mathematical Society Meeting, Denton, Texas, November
1986.
69. “Numerical simulation of microbial biodegradation of hydrocarbons
in groundwater,” National Water Well Meeting, Denver, Colorado, January
1987.
70. “Characteristic methods for nonlinear advection-diffusion-reaction
problems,” Invited Speaker, Nonlinear Partial Differential Equation Conference,
Tucson, Arizona, January 1987.
71. “Domain decomposition methods for modeling flow in porous media,”
Invited Speaker, First International Congress on Domain Decomposition, Paris,
France, January 1987.
72. “Operator splitting methods for modeling advection-diffusion-reaction
problems,” Invited Speaker, Mathematics of Finite Elements and Applications
1987, Brunel University, Uxbridge, Middlesex, United Kingdom, April 1987.
73. “Opportunities for women in computational science and engineering,”
NSF Visiting Professorship Symposia, Washington, DC, May 1987.
74. “Mathematical algorithms for modeling flow in porous media,”
Symposium on Oil Recovery, International Conference on Industrial and Applied
Mathematics, Paris, France, June 1987.
75. “Domain decomposition methods for elliptic equations,” Mathematics
and Computer Science Department, Rensselaer Polytechnic Institute, Troy, New
York, August 1987.
76. “Domain decomposition and mixed finite element methods for elliptic
problems,” Department of Engineering Mechanics, University of Texas, Austin,
Texas, August 1987.
77. “Superconvergent recovery of gradients on subdomains for piecewise
linear finite element approximations,” Mathematics Department, University
of Chicago, Chicago, Illinois September l987.
78. “Numerical simulation of microbial biodegradation of hydrocarbons
in groundwater,” Third International Symposium, Science and Engineering
on Cray Computers, Cray Research, Minneapolis, Minnesota, September 1987.
79. “Domain decomposition for mixed finite element methods,” Mini-Symposium
on Domain Decomposition, SIAM Meeting, Denver, Colorado, October 1987.
80. “Mathematical modeling for problems in flow in porous media,”
Mathematics Department, University of Southern California at La Jolla, La Jolla,
California, October 1987.
81. “Numerical modeling of subsurface contaminant transport with biodegradation
kinetics,” National Water Wells Meeting, Houston, Texas, November 1987.
82. “An operator-splitting method for advection-diffusion-reaction problems,”
Mathematics Department, Purdue University, West Lafayette, Indiana, December
1987.
83. “Time-splitting for advection dominated parabolic problems,”
Applied Mathematics Center, Mathematics Department, Notre Dame University, South
Bend, Indiana, December 1987.
84. “Modeling contaminant transport in porous media using the modified
method of characteristics,” Civil Engineering Department, Notre Dame University,
South Bend, Indiana, December 1987.
85. “Domain decomposition for elliptic problems with Neumann boundary
conditions,” Mathematics Institute, Cornell University, Ithaca, New York,
March 1988.
86. “Some improved estimates for the modified method of characteristics,”
Mathematics Department, Tulsa University, Tulsa, Oklahoma, April 1988.
87. “Domain decomposition and mixed finite element methods for elliptic
problems,” German National Research Center for Information Technology
(GMD), Bonn, Germany, May 1988.
88. “Characteristic methods for modeling flow in porous media,”
Mathematics Department, Chalmers Institute, Goteborg, Sweden, May 1988.
89. “Modeling viscous fingering in porous media,” Stavenger VISTA
Meeting, Stavenger, Norway, June 1988.
90. “Godunov methods for Buckley Leverett problems,” International
Meeting on Parallel Computation, Tromso, Norway, June 1988.
91. “Modified method of characteristics finite element method for modeling
contaminant transport in a heterogeneous porous media,” Featured Speaker,
International Water Resources Meeting, Massachusetts Institute of Technology,
Boston, Massachusetts, June 1988.
92. “Characteristic methods for modeling flow in porous media,”
Mini-Symposium Speaker on Flow Problems, SIAM National Meeting, Minneapolis,
Minnesota, July 1988.
93. “Characteristic methods for modeling unstable miscible displacement,”
IBM, Lech, Austria, August 1988.
94. “Unstable miscible displacement in porous media,” Workshop on
Petroleum Reservoir Engineering, Rio de Janeiro, Brazil, August 1988.
95. “Domain decomposition for petroleum reservoir engineering problems,”
IBM International Meeting on Process Chemicals, Dallas, Texas, September 1988.
96. “Postprocessing for mixed methods for elliptic equations,” Rensselaer
Polytechnic Institute Meeting on Adaptive Grid Refinements, Rensselaer Polytechnic
Institute, Tryo, New York, October 1988.
97. “Mixed methods for approximating controllability of the wave equation,”
David M. Young Conference, University of Texas, Austin, Texas, October 1988.
98. “Some superconvergence results for finite element methods for elliptic
and parabolic equations,” Mathematics Department, Brunel University, Uxbridge,
Middlesex, United Kingdom, November 1988.
99. “Multigrid methods for solving domain decomposition interface problems
for elliptic equations,” German National Research Center for Information
Technology, (GMD), Bonn, Germany, November 1988.
100. “Impact of computation on science and engineering,” Sunday
Evening Club, University of Houston, Houston, Texas, November 1988.
101. “Unstable miscible displacement in porous media,” Applied Mathematics,
California Institute of Technology, Pasadena, California, November 1988.
102. “Superconvergence results for Raviart-Thomas spaces for parabolic
problems,” Mexico-U.S. Meeting, Yucatan, Mexico, January 1989.
103. “Mathematical modeling of viscous fingering in porous media,”
AWM Emily Noether Invited Speaker, AMS, Phoenix, Arizona, January 1989.
104. “Characteristic methods for modeling unstable miscible displacement,”
Mathematics Department, University of Chicago, Chicago, Illinois, January 1989.
105. “Modeling contaminant transport in porous media,” Mathematics
Department, University of Tennessee and Oak Ridge National Laboratory, Oak Ridge,
Tennessee, February 1989.
106. “Domain decomposition and mixed finite element methods,” SIAM
Meeting, Houston, Texas, March 1989.
107. “Domain decomposition for elliptic partial differential equations,”
Mathematics Department, Southern Methodist University, Dallas, Texas, April
1989.
108. “Characteristic methods for modeling contaminant transport in porous
media,” Mathematics Department, Purdue University, West Lafayette, Indiana,
April 1989.
109. “Modeling the biodegradation of hydrocarbons in groundwater,”
Irsee Conference on Mathematical Modeling in Flow in Porous Media, Irsee, Germany,
May 1989.
110. “Parallel algorithms for modeling flow in porous media,” Provost
Lecture, Rice University, Houston, Texas, May 1989.
111. “Domain decomposition algorithms in mixed finite element methods,”
Parallel Computation Conference, University of Trondheim, Trondheim, Norway,
August 1989.
112. “Superconvergence recovery of gradients of piecewise linear approximations
to nonlinear parabolic equations,” MAXIMA Meeting, Mexico-U.S. Consortium
on Flow in Porous Media, University of Vermont, Burlington, Vermont, August
1989.
113. “Modeling of in-situ biorestoration of organic compounds in groundwater,”
Plenary Speaker at SIAM Geosciences Conference, Houston, Texas, September 1989.
114. “Parallel algorithms for mixed finite element methods for elliptic
partial differential equations,” Plenary Speaker, Conferentie Van Numerick
Wiskundigen Zeist, Delft, Netherlands, September 1989.
115. “Modeling of in-situ biorestoration of organic compounds in groundwater,”
Visiting Professor at Delft University, Delft, Netherlands, October 1989.
116. “A priori estimates for mixed finite element methods for the wave
equation,” Reliability Workshop, Department of Engineering Mechanics,
University of Texas, Austin, Texas, October 1989.
117. “Advanced numerical methods for modeling contaminant transport problems
in groundwater,” Department of Energy, Gaithersburg, Maryland, December
1989.
118. “Advanced numerical methods for modeling contaminant transport problems
in groundwater,” Colloquium Speaker, Mathematics Department, University
of Chicago, Chicago, Illinois, January 1990.
119. “Characteristic methods for modeling nonlinear adsorption in contaminant
transport,” Chancellor's Distinguished Professor 1989-90 Speaker, University
of California, Irvine, California, February 1990.
120. “Relationships between mathematics and industry,” Symposium
on Modern Perspectives of Mathematics as a Consumer Good, Mathematics in Academia,
Mathematical Sciences Institute, Cornell University, Ithaca, New York, March
1990.
121. “Modeling of in-situ biorestoration of organic compounds in groundwater,”
Mathematics Department, Purdue University, West Lafayette, Indiana, April 1990.
122. “Convergence analysis for simulating flow in root-soil systems,”
Mathematics of Finite Elements and Applications 1990, Brunel University, Uxbridge,
Middlesex, United Kingdom. April 1990.
123. “Parallel domain decomposition for mixed finite element methods for
elliptic equations,” International Domain Decomposition Meeting IV, Moscow,
USSR, May 1990.
124. “Modeling viscous fingering in porous media,” Multiphase Flow
Conference, Shell Oil, The Hague, Netherlands, May 1990.
125. “Modeling biodegradation and sorption in porous media,” Mathematics
Department, Delft University, Delft, Netherlands, June 1990.
126. “Characteristic methods for modeling nonlinear adsorption in contaminant
transport,” International Conference on Computational Methods in Water
Resources VII, Venice, Italy, June 1990.
127. “Modeling biodegradation in groundwater,” Oak Ridge National
Workshop on Modeling Environmental Problems, Oak Ridge, Tennessee, July 1990.
128. “Modeling in situ biodegradation of hydrocarbons in groundwater,”
Gordon Conference on Flow in Porous Media, Plymouth State College, Plymouth,
New Hampshire, August 1990.
129. “Parallel algorithms for computational geosciences problems,”
CRPC Annual Meeting, Houston, Texas, August 1990.
130. “Parallel algorithms for EOR problems,” Bureau of Economic
Geology, University of Texas, Austin, Texas, August 1990.
131. “Parallel domain decomposition methods for mixed finite element methods,”
Domain Decomposition Workshop, ICASE, Hampton, Virginia, September 1990.
132. “Emerging parallel numerical algorithms for flow in porous media
problems,” Convex Corporation Workshop, Houston, Texas, October 1990.
133. “Advanced numerical parallel methods for partial differential equations,”
University of Houston, Houston, Texas, November 1990.
134. “Parallel domain decomposition methods for mixed finite element methods
for elliptic equations,” Mississippi State University, Starkville, Mississippi,
November 1990.
135. “Parallel algorithms for modeling flow in porous media,” Mathematics
Department University of Toronto, Toronto, Ontario, Canada, December 1990.
136. “Modeling flow in porous media,” Mathematics Department, University
of Waterloo, Waterloo, Ontario, Canada, December 1990.
137. “Modeling of plant-root systems,” American Association for
the Advancement of Science, Washington, DC, February 1991.
138. “Parallel algorithms for modeling flow in porous media,” Civil
Engineering Department, Princeton University, Princeton, New Jersey, March 1991.
139. “Mathematical modeling in permeable media,” Werner Lambert
Distinguished Professor Colloquium, University of Michigan, Ann Arbor, Michigan,
April 1991.
140. “Characteristic methods for advection problems,” Numerical
Linear Algebra, Oberwolfach, Germany, April 1991.
141. “Modeling of soil root systems,” “Modeling of biodegradation
of contaminants in groundwater,” and “Parallel algorithms for partial
differential equations,” Distinguished Lecturer for the University of
Georgia System: University of Georgia, Athens Georgia; Georgia Tech, Atlanta,
Georgia; and Georgia State, Atlanta, Georgia, May 1991.
142. “Parallel algorithms for flow in porous media,” University
of South Carolina, Columbia, South Carolina, June 1991.
143. “Modeling contaminant transport in porous media,” International
Conference on Industrial and Applied Mathematics, Washington DC, July 1991.
144. “Characteristic methods for modeling unstable miscible displacement,”
International IMACS Meeting, Dublin, Ireland, July 1991.
145. “Algorithms for modeling biodegradation in porous media,” Oak
Ridge National Laboratory Workshop, Oak Ridge, Tennessee, August 1991.
146. “Parallel algorithms for petroleum reservoir engineering,”
Annual CRPC Symposium, Los Alamos National Laboratory, Los Alamos, New Mexico,
August 1991.
147. “Domain decomposition algorithms for reservoir engineering,”
Summer Conference on Domain Decomposition, Lambrecht, Germany, September 1991.
148. “Multigrid methods for interface problems,” German National
Research Center for Information Technology (GMD) Lecture, Bonn, Germany, September
10, 1991.
149. “Biodegradation modeling of contaminants in groundwater,” Batalle
Pacific Northwest Laboratory, Richland, Washington, September 1991.
150. “Parallel algorithms for partial differential equations,” International
Mathematical and Statistical Libraries, Houston, Texas, November 1991.
151. “Mixed-characteristic methods for linear advection problems,”
“Biodegradation modeling of contaminants in groundwater,” and “Parallel
domain decomposition algorithms for partial differential equations,” Distinguished
Lecturer Presentations, Center for Nonlinear Science and University of New Mexico,
Albuquerque, New Mexico, December 1991.
152. “Parallel algorithms for petroleum reservoir engineering,”
Association for Computing Machinery, Houston Chapter, Houston, Texas, December
1991.
153. “Mathematical models for contaminant transport in groundwater,”
Mathematics Department, University of Texas, Austin, Texas, December 1991.
154. “Parallel algorithms for flow in porous media,” Parallel Algorithms
for Partial Differential Equations, Oberwolfach, Germany, February 1992.
155. “A mixed-characteristic method for contaminant transport,”
Institute for Mathematics and Its Applications (IMA) and Mathematics Department,
University of Minnesota, Minneapolis, Minnesota, February 1992.
156. “Parallel algorithms for flow in porous media,” National Science
Foundation Engineering Center for Biofilm, Montana State University, Bozeman,
Montana, March 1992.
157. “Three-dimensional bioremediation modeling in heterogeneous porous
media,” “Scientific computation on massively parallel machines,”
and “Mixed characteristic methods for linear advection problems,”
Distinguished Visitor Series on Challenges for Computational Mathematics in
the 1990's, Mathematical Sciences Department, Clemson University, Clemson, South
Carolina, March 1992.
158. “A mixed-characteristic method for contaminant transport,”
Plenary Address, International Conference on Differential Equations and Mathematical
Physics, Georgia Tech, Atlanta, Georgia, March 1992.
159. “Parallel algorithms for energy and environmental problems,”
Texaco Research and Development, Houston, Texas, April 1992.
160. “Mathematical modeling in porous media,” Mathematics Association
of America, State of Texas Meeting, Houston, Texas, April 1992.
161. “Characteristic finite element methods for modeling transport phenomena
in porous media,” 28th Dutch Mathematics Congress, Delft University, Delft,
Netherlands, April 1992.
162. “Modeling contaminant transport of toxic waste sites in porous media,”
Invited Speaker, Environment and Immunology Conference, University of Houston,
Houston, Texas, May 1992.
163. “Three-dimensional bioremediation modeling in heterogeneous porous
media,” Invited Speaker, Water Resources International Conference IX,
Denver, Colorado, June 1992.
164. “Domain decomposition for mixed finite element methods for elliptic
equations,” International Domain Decomposition Meeting VI, Cuomo, Italy,
June 1992.
165. “Modeling of biodegradation of contaminants in groundwater,”
Workshop on Environmental Problems, Institute for Mathematics and its Applications,
University of Minnesota, Minneapolis, Minnesota, July 1992.
166. “In-situ biodegradation in porous media,” Flow in Porous Media
Industrial Affiliates Meeting, Rice University, Houston, Texas, August 1992.
167. “Modeling flow in porous media,” Invited Speaker, International
Congress on Nonlinear Analysis, Tallahassee, Florida, August 1992.
168. “Characteristic methods for modeling transport dominated flow problems,”
Invited Speaker, Batalle Pacific Northwest National Laboratory, Richland, Washington,
August 1992.
169. “High performance computing in modeling flow in porous media,”
Invited Speaker, Cray Technology Symposium, Houston, Texas, October 1992.
170. “Parallel algorithms for modeling flow in porous media,” Invited
Speaker, Supercomputer ’92. Minneapolis, Minnesota, November 1992.
171. “Parallel domain decomposition algorithms for mixed finite element
methods,” Invited Speaker, Center for Computational Science, University
of Kentucky, Lexington, Kentucky, December 1992.
172. “Flow in porous media,” Industrial Meeting with the Shell Research
Group, Rice University, Houston, Texas, December 1992.
173. “Three-dimensional bioremediation model for porous media,”
with Kyle Robinson, Batalle Pacific Northwest National Laboratory, at AGU National
Meeting, San Francisco, California, December 1992.
174. “Parallel algorithms for modeling flow in porous media,” Invited
Speaker, AMS/MAA American Mathematics Society National Meeting, San Antonio,
Texas, January 1993.
175. “Parallel research activities in the Texas geosciences project,”
CRPC, Houston, Texas, January 1993.
176. “Characteristic mixed finite element methods for modeling transport
dominated flow problems,” Invited Speaker, DOE, Sandia National Laboratory,
Albuquerque, New Mexico, February 1993.
177. “Computational science programs,” and “Parallel algorithms
for partial differential equations,” Department of Mathematics, Trinity
University, San Antonio, Texas, February 1993.
178. “Parallel algorithms for reservoir engineering and groundwater modeling,”
Invited Minisymposium Speaker, SIAM, Norfolk Parallel Computation Meeting, Norfolk,
Virginia, March 1993.
179. “Advanced numerical algorithms for groundwater modeling,” Invited
Speaker, Lawrence Livermore National Laboratory, Livermore, California, March
1993.
180. “Domain decomposition for mixed finite element methods for elliptic
equations,” International Domain Decomposition Meeting VI, Cuomo, Italy,
June 1993.
181. “Parallel algorithms for modeling flow in porous media,” Colloquium
Speaker, Mechanical Engineering Department, Rice University, Houston, Texas,
April 1993.
182. “A parallel numerical model for subsurface contaminant transport
with biodegradation kinetics,” Invited Speaker, Mathematics of Finite
Elements and Applications Conference, Brunel University, Uxbridge, Middlesex,
United Kingdom, April 1993.
183. “Grand challenge problems in porous media,” High Performance
Computing Meeting, Pittsburgh, Pennsylvania, May 1993.
184. “A parallel multicomponent two-phase simulation with biological and
chemical kinetics,” AGU National Meeting, Baltimore, Maryland, May 1993.
185. “Parallel algorithms for modeling multiphase flow and transport,”
Congress of the American Physical Society, Albuquerque, New Mexico, June 1993.
186. “Domain decomposition algorithms for partial differential equations,”
Computer Science Department Colloquium Presentation, University of Illinois,
Urbana, Illinois, September 1993.
187. “Some new mixed finite element spaces for elliptic problems,”
Flow in Porous Media Industrial Affiliates Meeting, Rice University, Houston,
Texas, June 1993.
188. “Two-dimensional modeling of flow and sedimentation,” Finite
Elements in Fluids, New Trends and Applications, Barcelona, Spain, September
1993.
189. “Mixed characteristic methods for fluids,” Domain Decomposition
Methods for Porous Media Meeting, Pennsylvania State University, University
Park, Pennsylvania, October 1993.
190. “Modeling adsorption and bioremediation in porous media,” Department
of Mathematics, University of Arizona, Tucson, Arizona, November 1993.
191. “Parallel domain decomposition methods for porous media problems”
and “HPCC Grand Challenge Problems in Reservoir Engineering and Groundwater,”
Center for Research on Parallel Computation Annual Meeting, California Institute
of Technology, Pasadena, California, January 1994.
192. “Algorithms for parallel reservoir simulation,” BP Research
and Development, Houston, Texas, January 1994.
193. “Parallel algorithms for modeling flow in porous media,” Teraflop
Mardi Gras Conference, Louisiana State University, Baton Rouge, Louisiana, February
1994.
194. “Mathematical modeling of flows in porous media,” BAM Conference,
University of Sheffield, Sheffield, England, April 1994.
195. “Mathematical models for porous media,” Barkley Rosser Lecture,
University of Wisconsin, Madison, Wisconsin, May 1994.
196. “Mathematical flow in porous media models,” IBM, T.J. Watson
Center, Physics Division, Yorktown Heights, New York, May 1994.
197. “A nonlinear mixed finite element method for a degenerate parabolic
equation arising in flow in porous media,” with T. Arbogast and N.Y. Zhang,
Transport in Porous Media Symposium, International Conference on Nonlinear Dynamics
and Pattern Formation in the Natural Environment, ICPF'94, Leeuwenhorst Congress
Center, Noordwijkerhout, Netherlands, July 1994.
198. “Transport, bioremediation, radionuclide decay and geochemistry,”
Department of Energy Review, Washington, DC, July 1994.
199. “A parallel multiphase numerical model for subsurface contaminant
transport with biodegradation kinetics,” with T. Arbogast and C. N. Dawson,
International Conference on Computational Methods in Water Resources X, Heidelberg,
Germany, July 1994.
200. “Logically rectangular mixed methods for groundwater flow and transport
on general geometry,” with T. Arbogast and I. Yotov, International Conference
on Computational Methods in Water Resources X, Heidelberg, Germany, July 1994.
201. “A parallel multiphase numerical model for subsurface contaminant
transport with biodegradation kinetics,” with T. Arbogast and C. N. Dawson,
Computational Methods in Geosciences: Porous Medium Symposium, SIAM Annual Meeting,
San Diego, California, July 1994.
202. “Role of computations in energy and environment,” Mathematical
and Computational Sciences Awareness Workshop, Rice University, Houston, Texas,
July 1994.
203. “Balancing domain decomposition,” Subsurface Modeling Group,
Industrial Affiliates Meeting, Rice University, Houston, Texas, August 1994.
204. “Modeling flow in porous media on distributive memory machines,”
Plenary Lecture for Numerical Modeling in Continuum Mechanics: Theory, Algorithms,
Applications, Charles University, Prague, Czech Republic, August 1994.
205. “Flow in porous media parallel computation project,” Arctic
Region Supercomputing Center, University of Alaska at Fairbanks, Fairbanks,
Alaska, October 1994.
206. “Parallel algorithms for modeling flow in porous media,” Speaker,
Texas Institute for Computational and Applied Mathematics, University of Texas,
Austin, Texas, October 1994.
207. “Logically rectangular mixed methods for Darcy flow on general geometry,”
13th Symposium on Reservoir Simulation, San Antonio, Texas, February 1995.
208. “A parallel multiphase model for subsurface transport with biological
and chemical kinetics,” University of Vermont, Burlington, Vermont, March
1995.
209. “Computational methods for multiphase flow and reactive transport
problems arising in subsurface contaminant remediation,” TICAM Symposium
on Advances and Trends in Computational and Applied Mathematics, University
of Texas, Austin, Texas, April 1995.
210. “Parallel algorithms for modeling multiphase flow and transport in
porous media,” Glimm '95 Conference, Stony Brook, New York, April 1995.
211. “Mixed finite element methods for modeling flow and transport in
porous media,” Mathematical Modeling of Flow Through Porous Media Conference,
St. Etienne, France, May 1995.
212. “New computational approaches for chemically reactive transport in
porous media,” New Generation Environmental Models and Computational Methods,
U.S. EPA Sponsors, Bay City, Michigan, August 1995.
213. “Advanced numerical models for treating porous media geology,”
Michigan Institute of Technology, Hoboken, Michigan, August 1995.
214. “Overview of modeling activities at the Center for Subsurface Modeling,”
Industrial Affiliates Meeting, University of Texas, Austin, Texas, October 1995
215. “New generation simulators for modeling subsurface and surface flows:
mixed finite element methods for partial differential equations,” “Parallel
algorithms for permeable media,” and “Frontiers in science,”
Texas A&M University, College Station, Texas, November 1995.
216. “Mathematical modeling of geochemistry,” Environmental Solutions
Program's Affiliates Meeting, University of Texas, Austin, Texas, November 1995.
217. “Importance of university and industry co operations,” Industrial
Mathematics Meeting, University of Minnesota, Minneapolis, Minnesota, November
1995.
218. “Resource management, transportation, recovery, and renewables: basic
research needs for environmentally responsive technologies of the future,”
DOE/NSF Workshop, New Orleans, Louisiana, January 1996.
219. “Emerging new algorithms for parallel computation in subsurface and
surface flows,” Institute for Geophysics, University of Texas, Austin,
Texas, January 1996.
220. “Parallel algorithms for modeling multiphase flow and transport in
porous media,” Geology Seminar, University of Texas, Austin, Texas, January
1996.
221. “Modeling activities at the Center for Subsurface Modeling,”
Bureau of Economic Geology, Austin, Texas, January 1996.
222. “Multiblock algorithms with non-matching grids for geological modeling,”
Geology Brown Bag, University of Texas, Austin, Texas, February 1996.
223. “How to survive and succeed,” Women Engineering Program, Graduate
Women Brown Bag, University of Texas, Austin, Texas, February 1996.
224. “Modeling multiphase flow and transport with biological and chemical
kinetics,” German Mathematical Institute, Oberwolfach, Germany, February
1996.
225. “Impact of computation on modeling in porous media,” NSF CISE
Site Visit, Computer Science Department, University of Texas, Austin, Texas,
March 1996.
226. “Impact of computation on science and engineering,” AAAS Meeting,
University of Texas, Austin, Texas, March 1996.
227. “Mixed finite element methods with nonmatching grids for modeling
porous media,” Center for Petroleum and Geosystems Annual Affiliates Meeting,
University of Texas, Austin, Texas, March 1996.
228. “Numerical algorithms for grand challenge problems,” National
Science Foundation Workshop on Grand Challenge Problems, National Science Foundation,
Arlington, Virginia, March 1996.
229. “Mathematical modeling of subsurface and surface flow,” Computational
Science and Engineering Meeting, University of Maryland, College Park, Maryland,
March 1996.
230. “Algorithms for modeling subsurface and surface flows” and
“Emerging parallel computational methodologies,” University of Central
Florida Orlando, Florida, April 1996.
231. “Parallel algorithms for subsurface flow,” Computer Science
Workshop, University of Texas, Austin, Texas, April 1996.
232. “Mathematical modeling of multiphase flow in porous media,”
Modeling and Computation for Applications in Science and Engineering, Northwestern
University, Evanston, Illinois, May 1996.
233. “Subsurface and surface modeling at the Center for Subsurface Modeling
at the University of Texas,” National Science Foundation Center for Research
in Parallel Computation Annual Meeting, Argonne National Laboratory, Chicago,
Illinois, May 1996.
234. “Subsurface and surface flow simulation,”12th Canadian Symposium
of Fluid Dynamics, Winnipeg, Manitoba, Canada, May 1996.
235. “Modeling multicomponent, multispecies, multiphase flow and transport
in porous media,” 10th Conference on Mathematics of Finite Elements and
Applications, Brunel University, Uxbridge, Middlesex, United Kingdom, June 1996.
236. “Mixed finite element methods with non-matching grids for partial
differential equations,” SIAM Annual Meeting, Kansas City, Missouri, July
1996.
237. “Hybrid Krylov secant methods for nonlinear equations arising in
porous media applications,” 11th International Conference on Computational
Methods in Water Resources, Cancun, Mexico, July 1996.
238. “Modeling activities at the Center for Subsurface Modeling at the
University of Texas at Austin,” Center for Research on Parallel Computation
Interim Site Visit, Rice University, Houston, Texas, August 1996.
239. “Hybrid-Krylov-secant solvers for solving fully implicit two phase
flow,” Center for Subsurface Modeling, University of Texas, Austin, Texas,
October 1996.
240. “Computational science applications at TICAM,” TENET Workshop
for K-12 Teachers, Texas Institute of Computational and Applied Mathematics,
University of Texas, Austin, Texas, December 1996.
241. “Domain decomposition methods for partial differential equations,”
Tutorial, United States Army Corps of Engineers Waterways Experimental Station,
Vicksburg, Mississippi, February 1997.
242. “A parallel multiphase numerical model for subsurface contaminant
transport with biodegradation and chemical kinetics,” 1997 AAAS Annual
Meeting and Science Innovation Exposition, Seattle, Washington, February 1997.
243. “Domain decomposition methods for subsurface and surface flow,”
Workshop on Computational Science Applications. University of Houston, Houston,
Texas, February 1997.
244. “Multiphase flow and transport in porous media,” High Performance
Computing 1997, Grand Challenges in Computer Simulation, The Society for Computer
Simulation International, Atlanta, Georgia, April 1997.
245. “Environmental quality management activities at the University of
Texas at Austin,” Department of Defense Performance Evaluation Training
Review, United States Army Corps of Engineers Waterways Experimental Station,
Vicksburg, Mississippi, April 1997.
246. “Compositional science at the University of Texas at Austin,”
IBM Super Meeting, Austin, Texas, April 1997.
247. “Parallel algorithms for multiphase flow,” Computational Science
for the 21st Century, Tours, France, May 1997.
248. “Next generation internet,” Lakeway Computer Club, Austin,
Texas, May 1997.
249. “Domain decomposition methods for partial differential equations,”
Tutorial, Center for Research on Parallel Computation, Rice University, Houston,
Texas, and United States Army Corps of Engineers Waterways Experimental Station,
Vicksburg, Mississippi, May 1997.
250. “Center for Subsurface Modeling activities in 1997,” Center
for Research in Parallel Computation Annual Meeting, Houston, Texas, May 1997.
251. “Mathematical modeling in porous media,” Tutorial, INRIA, Versailles,
France, June 1997.
252. “Parallel algorithms for subsurface flow and transport with biological
and chemical kinetics,” and “Conservative algorithms for surface
and subsurface flow,” SIAM Geosciences Meeting V, Albuquerque, New Mexico,
June 1997.
253. “Petroleum reservoir production management expertise,” The
University of Texas at Austin SAIC Workshop on Meeting on Petroleum Reservoir
Production Management, McLean, Virginia, July 1997.
254. “Domain decomposition algorithms for modeling subsurface and surface
flow,” The Tenth International Conference on Domain Decomposition, Boulder,
Colorado, August 1997.
255. “Transport of multispecies contaminants in porous media,” Symposium
on Molecular Sciences for the Environment, Environmental Molecular Sciences
Laboratory, Richland, Washington, October 1997.
256. “Computational science at the University of Texas at Austin,”
Digital Technology Summit, Trends and Challenges, University of Minnesota, Minneapolis,
Minnesota, October 1997.
257. “Mortar spaces for multiphase flow, Center for Subsurface Modeling,”
Industrial Affiliates Meeting, Center for Subsurface Modeling, University of
Texas, Austin, Texas, November 1997.
258. “Newton-Krylov methods for nonlinear systems arising in reservoir
simulation,” Industrial Affiliates Meeting, Center for Subsurface Modeling,
University of Texas, Austin, Texas, November 1997.
259. “Next generation reservoir simulator framework,” Advanced Computing
Technology Review, Department of Energy, Tulsa, Oklahoma, December 1997.
260. “Mortar mixed finite element approximations for elliptic and parabolic
equations,” Ninth International Conference on Approximation Theory, Vanderbilt
University, Nashville, Tennessee, January 1998.
261. “Petroleum production and environmental remediation,” NPACI
All-Hands Meeting, University of California, San Diego, California, January
1998.
262. “Parallelization methodologies for environmental modeling problems,”
United States Army Corps of Engineers Waterways Experimental Station, Vicksburg,
Mississippi, January 1998.
263. “Workshop on domain decomposition methods for parallel computation,”
United States Army Corps of Engineers Waterways Experimental Station, Vicksburg,
Mississippi, January 1998.
264. “Mesh partitioning algorithms and solvers for unstructured grids,”
Department of Defense Grid Workshop, University of Texas, Austin, Texas, February
1998.
265. “Environmental modeling efforts,” United States Army Corps
of Engineers Waterways Experiment Station, Vicksburg, Mississippi, March 1998.
266. “Parallel algorithms for modeling flow in porous media,” SIAM
Southeast Regional Meeting, Florida State University, Tallahassee, Florida,
March 1998.
267. “Numerical simulation of subsurface flow and reactive transport,”
National Research Council, Exploring the Interface Between the Sciences and
Mathematical Sciences, Washington DC, March 1998.
268. “Domain decomposition algorithms for computationally rough problems,”
Domain Decomposition Conference, Oberwolfach, Germany, April 1998.
269. “PCE-QUAL-ICM: A parallel water quality model based on CE-QUAL-ICM,”
Department of Defense Users Meeting, Rice University, Houston, Texas, June 1998.
270. “Computational science efforts in environmental subsurface and surface
modeling,” Parallel Computation Tutorial, Jackson State University, Jackson,
Mississippi, June 1998.
271. “Domain decomposition methods for modeling subsurface and surface
flow,” 1st IMACS Conference on Mathematical Modeling and Computational
Methods in Mechanics and Geodynamics, Prague, Czech Republic, July 1998.
272. “Mortar mixed finite element approximations for elliptic and parabolic
equations with applications to subsurface and surface flow” Workshop on
the State of the Art in Finite Element Method: Theory, Algorithm, and Applications,
City University of Hong Kong, Hong Kong, China, July 1998.
273. “Parallel multiblock methods for reservoir simulation,” Super
K Workshop, Saudi Aramco, Dhahran, Saudi Arabia, September 1998.
274. “A projection method for constructing a locally mass conservative
velocity field,” Plenary Lecture, 4th Symposium on Overset Composite Grid
and Solution Techniques, Army Research Laboratory, Aberdeen Proving Ground,
Maryland, September 1998.
275. “Overview of Center for Subsurface Modeling activities,” Industrial
Affiliates Meeting, Center for Subsurface Modeling, University of Texas, Austin,
Texas, October 1998.
276. “Uncertainty and reliability in modeling flow in porous media,”
Predictability of Complex Systems, Sandia National Laboratory, Albuquerque,
New Mexico, October 1998.
277. “Algorithms for modeling subsurface and surface flow,” Plenary
Speaker, 50 Years of the Seminar for Applied Mathematics, Swiss Federal Institute
of Technology, Zurich Switzerland, November 1998.
278. “Crisis management of bays and estuaries,” Supercomputing '98,
Orlando, Florida, November 1998.
279. “Multiblock algorithms for fluid flow,” Supercomputing '98,
Orlando, Florida, November 1998.
280. “Application of KeLP and active data repository (ADR) for modeling
flow problems,” NPACI, University of California, San Diego, California,
January 1999.
281. “A parallel multiblock/multidomain approach for reservoir simulation,”
Fifteenth SPE Reservoir Symposium on Reservoir Simulation, Society of Petroleum
Engineers, Houston, Texas, February 1999.
282. “Synthetic environments for modeling subsurface and surface flows,”
SIAM Parallel Processing and Geosciences Plenary Lecture, San Antonio, Texas,
March 1999.
283. “Combined flow simulation, geomechanics, and seismic inversion for
reservoir characterization,” with Susan E. Minkoff, J. Guadalupe Arguello,
Steve Bryant, Malgorzata Peszynska, Charles M. Stone, and William W. Symes,
SIAM Conference On Geosciences, San Antonio, Texas, March 1999.
284. “Multiple numerical methods in a multi-block framework,” with
M. Peszynska, SIAM Geosciences Conference, San Antonio, Texas, March 1999.
285. “Locally conservative algorithms for modeling subsurface and surface
flow,” Invited Colloquium Speaker, Mathematics Department, University
of Pittsburgh, Pittsburgh, Pennsylvania, April 1999.
286. “IPARS, an integrated parallel accurate reservoir simulator,”
Plenary Speaker, Computational Science and Engineering Symposium, University
of Illinois, Urbana-Champaign, Illinois, April 1999.
287. “When your resource is 10,000 feet underground you bet you rely on
mathematical modeling,” National Research Council Workshop, “Reliability
of Mathematical Modeling,” National Academy of Sciences, New York City,
New York, May 1999.
288. “Synthetic environments for modeling subsurface and surface flows,”
Schlumberger-Doll Research, Ridgefield, Connecticut, May 1999.
289. “Modeling multiscale, multiphysics and multiphase flow in energy
and environment problems,” Plenary Speaker, Mississippi State Fourth Conference
in Differential Equations and Computational Simulations, Starkville, Mississippi,
May 1999.
290. “A discontinuous Galerkin method applied to nonlinear parabolic equations,”
Plenary Presentation, First International Symposium on Discontinuous Galerkin
Methods, Salve Regina University, Newport, Rhode Island, May 1999.
291. “Process control for oil and gas production,” Center for Simulation-Based
Engineering. Rensselaer Polytechnic Institute, Troy, New York, May 1999.
292. “Grids for modeling subsurface and surface flows,” MICS Mesh
Topology Meeting Argonne National Laboratory, Chicago, Illinois, June 1999.
293. “Overview of environmental quality modeling activities supported
under the Department of Defense performance evaluation program,” United
States Army Corps of Engineers Waterways Experiment Station, Vicksburg, Mississippi,
June 1999.
294. “Environmental modeling and computation,” Jackson State University,
Jackson, Mississippi, June 1999.
295. “Locally conservative algorithms for flow,” Plenary Presentation,
Mathematics of Finite Elements and Applications ’99, Brunel University,
Uxbridge, Middlesex, United Kingdom, June 1999.
296. “Domain decomposition for multiphase flow: interface coupling of
different numerical and physical models,” with M. Peszynska and Q. Lu,
Mathematics and Finite Elements and Applications ’99, Brunel University,
Uxbridge, Middlesex, United Kingdom, June 1999.
297. “Problem solving environments for modeling subsurface and surface
flow problems,” Plenary Lecture, ENUMATH, The Third European Conference
on Numerical Mathematics and Advanced Applications, University of Jyvaskyla,
Jyvaskyla, Finland, July 1999.
298. “Uncertainty and reliability in modeling flow in porous media,”
5th U.S. National Congress on Computational Mechanics, Boulder, Colorado, August
1999.
299. “Discontinuous Galerkin methods for unstable miscible displacement,”
AMS meeting, Austin, Texas, October 1999.
300. “A computing portal for modeling subsurface and surface flow problems,”
Plenary Speaker, Conference on Differential Equations and Their Applications
Honoring J.L. Lions, October 1999.
301. “Locally conservative algorithms for hydrodynamics,” Society
of Engineering Science October 1999.
302. “Multi-phase, multi-numerical, and multiple domain algorithms for
modeling subsurface flow in porous media,” Alumni Speaker, Texas Tech
University, Lubbock, Texas, November 1999.
303. “Uncertainty and reliability in modeling subsurface flow,”
Workshop on Reliability, Los Alamos National Laboratory, Los Alamos, New Mexico,
December 1999.
304. “Multiphysics and multidomain modeling in porous media,” Engineering
Research and Development Center, Vicksburg, Mississippi, January 2000.
305. “Uncertainty and reliability in modeling multiphase flow in porous
media,” Institute for Mathematics and Its Applications, University of
Minnesota, Minneapolis, Minnesota, January 2000.
306. “A distributed problem-solving environment for coupling multi-physics
and multiple domains in porous media,” Institute for Mathematics and Its
Applications, University of Minnesota, Minneapolis, Minnesota, February 2000.
307. “A distributed computing portal for coupling multi-physics and multiple
domains for environmental modeling,” NAVO, Biloxi, Mississippi, March
2000.
308. “A distributed problem-solving environment for coupling multi-physics
and multiple domains in porous media,” Copper Mountain Conference on Iterative
Methods, Copper Mountain, Colorado, April 2000.
309. “Multiphysics couplings,” Center for Computational Sciences,
Lexington, Kentucky, University of Kentucky, Lexington, Kentucky, April 2000.
310. “Multiphysics couplings for environmental problems,” Department
of Defense Symposium, Albuquerque, New Mexico, June 2000.
311. “A distributed computing portal for coupling multi-physics and multiple
domains in porous media,” Invited Speaker, XIII International Conference
on Computational Methods in Water Resources, Calgary, Alberta, Canada, June
2000.
312. “Locally conservative schemes for modeling multiphase flow in permeable
media,” SIAM National Meeting, San Juan, Puerto Rico, July 2000.
313. “Coupling of models for energy and the environment,” SIAM National
Meeting, San Juan, Puerto Rico, July 2000.
314. “Working in a multidisciplinary environment,” Association for
Women in Mathematics Workshop, SIAM National Meeting, San Juan, Puerto Rico,
July 2000.
315. “What does water know about mathematics?” Congressional Lecture
Sponsored by the American Mathematical Society, Sam Rayburn Building, Washington
DC, July 2000.
316. “Iterative solvers of the Implicit Parallel Accurate Reservoir Simulator
(IPARS),” Invited Speaker, Solution Methods for Large-Scale Nonlinear
Problems, Center for Applied Scientific Computing, Lawrence Livermore National
Laboratory, Pleasanton, CA, July 2000.
317. “Coupling of models for energy and environmental problems,”
Plenary Speaker, First International SIAM Conference on Computational Science,
Washington DC, September 2000.
318. “A parallel multi-block, multiphysic approach for multiphase flow
in permeable media,” International Conference on Modeling and Computation
in Environmental Sciences, Bad Herrenalb, Germany, October 2000.
319. “Mixed finite element methods for multiphase flow in porous media,”
Mathematics Institute, Oberwolfach, Germany, February 2001.
320. “A parallel multi-block, black-oil, multi-model implementation,”
with Q. Lu and M. Peszynska, SPE 66359, SPE Reservoir Symposium, Houston, Texas,
February 2001.
321. “Discontinuous Galerkin methods for geoscience applications,”
North Carolina State University, Raleigh, North Carolina, April 2001.
322. “Mathematical and computational challenges in energy and environmental
modeling,” University of North Carolina, Chapel Hill, North Carolina,
April 2001.
323. “Mathematical and computational challenges in energy and environmental
modeling,” “Numerical formulation and analysis of partial differential
equation algorithms with computational results: locally conservative algorithms
for flow,” and “A simulator framework for distributed multi-resolution,
multi-physics simulations,” Barrett Lectures, University of Tennessee,
Knoxville, Tennessee, May 2001.
324. “Computational challenges in modeling flow and reactive transport,”
P. T. Wu Lecture, Department of Civil and Environmental Engineering, Ohio State
University, May 2001.
325. “Locally conservative algorithms for flow and transport,” and
“Iterative solvers for multiphase flow in porous media,” with M.
Peszynska and B. Rivière, Sixth SIAM Conference on Mathematical and Computational
Issues in the Geosciences, Boulder, Colorado, June 2001.
326. “Discontinuous Galerkin methods for geoscience applications,”
Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment—A
Joint Summer Research Conference of American Mathematical Society, the Institute
of Mathematical Sciences, and the Society for Industrial and Applied Mathematics,
Mount Holyoke College, South Hadley, Massachusetts, June 2001.
327. “Locally conservative algorithms for flow,” Department of Defense
High Performance Computing Modernization Program, Biloxi, Mississippi, June
2001.
328. “Mortar upscaling for multiphase flow in porous media,” International
Symposium on Computational and Applied PDEs, Zhangjiajie, China, July 2001
329. “Numerical modeling of flow in porous media,” Academy of Science,
Beijing, China, July 2001
330. “Mortar upscaling for multiphase flow in porous media,” Department
of Mathematics, University of Maryland at College Park, Maryland, October 2001.
331. “Solution techniques and dual approximation for multiphase flow in
porous media,” Center for Subsurface Modeling Industrial Affiliates Meeting,
Austin, Texas, October 2001.
332. “Computational Science Issues in Oil and Gas Production: Upscaling,
Geologic Uncertainty and Economic Models”, Institute for Mathematics and
Its Applications, University of Minnesota, January 15, 2002.
333. “Advanced Software for Collaborative Modeling and Simulation of Energy
and Environmental Applications,” NAE Regional Meeting, Austin, Texas,
March 5, 2002.
334. “Discontinuous Galerkin for Geoscience Applications,” IMA Workshop
on Mathematical Modeling in the Geosciences, University of Minnesota, Minneapolis,
Minnesota, March 14, 2002.
335. “Solution techniques and dual approximation for multiphase flow in
porous media”, Copper Mountain Meeting, Copper Mountain, Colorado, March
26, 2002.
336. “Mathematical and computational modeling of multiphysics couplings”,
International Conference on Multifield Problems in Solid and Fluid Mechanics,
University of Stuttgart, Stuttgart, Germany, Plenary Speaker, April 8- 12, 2002.
337. “Discontinuous Galerkin method for geoscience applications: flow,
reactive transport, and mechanics,” Discontinuous Galerkin Meeting, Oberwolfoch,Germany,
April 22 - 26, 2002.
338. “Discontinuous Galerkin method for modeling flow and reactive transport
in porous media”, Plenary Speaker, 34th National Conference of Numerical
Analysis, Village Vacances Famille of Anglet, Pyrenees-Attlantiques, France,
May 29, 2002.
339. Discontinuous Galerkin methods for mass conservation equations for environmental
modeling”, XIV International Conference on Computational Methods and water
Resources, Delft, The Netherlands, June 2002.
340. “Agglomeration multigrid methods for two phase flow models”,
XIV International Conference on Computational Methods and water Resources, Delft,
The Netherlands, June 2002.
341. “Discontinuous Galerkin methods for geomechanics applications”,
Fifth World Congress on Computational Mechanics, Vienna, Austria, July 7-12,
2002.
342. “Discontinuous Galerkin methods for geoscience applications: flow,
geochemistry and geomechanics”, International Congress in Mathematics
2002—Beijing Satellite Conference on Scientific Computation, Xi’an
Jiao Tong University, Xi’an, China, August 14-19, 2002.
343. “Computational issues in oil and gas production”, 8th European
Conference on the Mathematics of Oil Recovery, The Freiburg University of Mining
and Technology, Freiburg, Germany, September 3-6, 2002.
344. “Workshop on coupling methods for flow and transport”, NAVO,
Vicksburg, MS, October 2, 2002
345. “Coupling of mixed and Galerkin finite element methods for Biot consolidation
problem”, Center for Subsurface Modeling Industrial Affiliates Meeting,
Austin, Texas, October 23-24, 2002.
346. “Discontinuous Galerkin methods for geoscience applications,”
Department of Mathematics, University of Colorado at Denver, Denver, Colorado,
November 6, 2002.
347. "Advanced modeling techniques for numerical simulation of complex
subsurface hydrosystems", DOE/NSF/SIAM Workshop on Predictability of Complex
Phenomena, Santa Fe, New Mexico, December 16-18, 2002.
348. "DG algorithms for modeling flow, transport and mechanics" Tutorial,
ERDC, Vicksburg, Mississippi, January 14, 2003.
349. "Advanced modeling techniques for reservoir simulation", Exxon/Mobil
Seminar, Houston, Texas, January 16, 2003.
350. "Advanced modeling techniques for numerical simulation of complex
subsurface hydrosystems", Meeting Honoring Racho Lazarov, Texas A&M
Univ., College Station, Texas, January 24-25, 2003.
351. "Environmental Quality Modeling for Performance Evalutation Training
in the DOD", Atlanta, Georgia, February 3-6, 2003
352. "Mathematical and computational modeling of multiphysics couplings",
SIAM Minisymposium on Problem Solving Environments for Simulation and Modeling,
Conference on Computational Science and Engineering, San Diego, CA, February
10-13, 2003.
353. "Discontinuous Galerkin methods for modeling Biot's consolidation
problem", Minisymposium on Higher-Order Discretizations, Conference on
Computational Science and Engineering, San Diego, CA, February 10-13, 2003.
354. "Discontinuous Galerkin and mixed finite element methods for modeling
Biot's consolidation model of poroelasticity", SIAM Geosciences Meeting,
Austin, Texas, March 17-20, 2003.
355. "Compatible algorithms for coupled flow and transport", SIAM
Geosciences Meeting, Austin, Texas, March 17-20, 2003.
356. "Discontinuous Galerkin methods for geoscience applications”,
Sandia National Laboratory, Los Alamos, NM, April 19, 2003.
357. With R. J. Liu, "Discontinuous Galerkin finite elements for 3D elasticity",
Second MIT Conference on Computational Fluid and Solid Mechanics, Cambridge,
MA, June 17-20, 2003.
358. With P.J. Phillips, "A coupling of mixed and Galerkin finite element
methods for poroelasticity", Second MIT Conference on Computational Fluid
and Solid Mechanics, June 17-20, 2003.
359. "Multiphysics applications in porous media", DOE SCALES Workshop
(A Science-based CAse for LargE Scale Simulation), Washington D. C. June 23,
2003.
360. "Advanced algorithms for reservoir engineering simulators", BP
Technical Advisory Committee Meeting, Univ. of Texas at Austin, Austin, TX,
July 2, 2003.
361. "Discontinuous Galerkin and mixed finite element methods for modeling
Biot's consolidation model of poroelasticity", Advances in Computational
Methods for Reservoir Geomechanics Modeling, 7th US National Congress on Computational
Mechanics, Albuquerque, NM, July 27-31, 2003.
362. With S. Sun, "Discontinuous Galerkin modeling for modeling flow and
reactive transport", 7th US National Congress on Computational Mechanics,
Albuquerque, NM, July 27-31, 2003.
363. “Locally Conservative Algorithms for Flow,” Los Alamos National
Laboratory, Los Alamos, New Mexico, Sept. 24-25, 2003.
364. Professor Hackerman's Freshman Class, Computational Science, Univ. of Texas,
Austin, Texas, Sept. 29, 2003.
365. “What Does Mathematics Know About Water?” Women's Leadership
DOE Baltimore, College Park, Maryland, Oct. 8-10, 2003.
366. “Discontinuous Galerkin Methods for Flow and Transport,” ADAPT
'03: Conference on Adaptive Methods for Partial Differential Equations and Large-scale
Computation, Rensselaer Polytechnic Institute, Troy, New York Oct. 11-12, 2003.
367. “Mimetic Finite Difference Methods for Flow in Porous Media,”
Center for Subsurface Modeling Industrial Affiliates Meeting, Univ. of Texas,
Austin, TX, Oct. 21-22, 2003.
368. “Iterative Coupling for Parallel Geomechanics Flow,” 2003 International
Conference on Preconditioning Techniques for Large Sparse Matrix Problems in
Scientific and Industrial Applications, Embassy Suite Napa Valley, Napa, Calfornia,
October 27, 2003.
369. “Coupling of MFE or Mimetic Finite Differences with Discontinuous
Galerkin for Poroelasticity,” Discontinuous Galerkin Workshop, Recent
Advances and State-of-the-Art in Discontinuous Galerkin Methods in Computational
Structural Mechanics Meeting, Army High Performance Computing Research Center,
University of Minnesota, Minneapolis, MN, Oct. 28, 2003.
370. “Error Estimates for Discontinuous Galerkin Methods,” DOD ERDC
Workshop, Vicksburg, Mississippi, Nov. 12, 2003.
371. “Research at the Center for Subsurface Modeling,” ICES Board
of Visitors Meeting, Univ. of Texas, Austin, Texas, January 13, 2004.
372. “Parallel Algorithms for Modeling Poroelastic Multicomponent Models,”
Simulation Users Group Meeting, Petroleum Technology Transfer Council, Valencia,
california, January 29, 2004.
373. “Mathematical Issues in Multiphysics Couplings,” 8th Copper
Mountain Conference on Iterative Methods, Copper Mountain, Colorado, March 30,
2004.
374. “Mathematical Issues in Multiphysics Couplings,” Advances in
Computational Mechanics—A Conference Celebrating the 60th Birthday of
Thomas J. R. Hughes, Rice University, Houston, Texas April 7-9, 2004.
375. “Discontinuous Galerkin Methods for Poroelasticity,” Workshop
on Discontinuous Galerkin Methods for Computational Mechanics, Army High Performance
Computing Research Center, University of Minnesota, Minneapolis, Minnesota,
May 10, 2004.
376. “Coupling of MFE or Mimetic Finite Differences with DG for Poroelasticity,”
Compatible Spatial Discretizations for Partial Differential Equations Workshop,
Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis,
Minnesota, May 11-15, 2004.
377. “Multiscale Modeling in Porous Media,” Software Institute,
Academy of Science, Beijing, China, June 17, 2004.
378. “Discontinuous Galerkin Methods for Modeling Flow and Transport,”
ICOSAHOM 2004, Brown University, Providence, Rhode Island, June 21, 2004.
379. “Mathematical and Computational Issues in Multiphysics Couplings,”
ASCI ITS Lecture, ASCI Institute for Terascale Simulation, Lawrence Livermore
National Laboratory, Livermore, California, June 24, 2004.
380. “IPARS, Geomechanics and Chemistry, Subsurface Science Challenges,”
Idaho National Engineering and Environmental Laboratory, Idaho Falls, Idaho,
June 28, 2004.
381. “Discontinuous Galerkin Methods for Flow, Reactive Transport, and
Mechanics in Porous Media,” Flow and Transport in Permeable Media, Gordon
Conference, Queens College, Oxford University, Oxford, England, United Kingdom,
July 11-16, 2004 (Plenary Lecture).
382. “Mathematical and Computational Issues in Multiphysics Couplings,”
Mathematics Dept., University of Sofia, Sofia, Bulgaria, July 22, 2004.
383. “Solvers for Coupling Multiphysics and Multiple Domains in Porous
Media Using Grid Computing,” ConocoPhillips, Bartlesville, Oklahoma, August
16, 2004.
384. “Data-driven Subsurface Simulation Framework: Flow, Geomechanics
and Chemistry,” Software Engineering at The University of Texas at Austin,
Univ. of Texas, Austin, Texas, August 28, 2004.
385. “Mathematical Issues in Multiscale Couplings,” DOE Multiscale
Mathematics Workshop III, Portland Oregon, September 21-23, 2004.
386. “Advances in Discretizations for Flow and Geomechanics,” ExxonMobil,
Houston, Texas, September 30, 2004.
387. “Mathematical Issues in Multiphysics Couplings,” Department
of Mathematics, University of Houston, Houston, Texas, October 5, 2004.
388. “Mathematical Issues in Multiphysics Couplings,” Modeling and
Computation in Environmental Science, Hohenwart Forum, Hohenwart, Germany, October
10-15, 2004.
389. “Two-scale Mortar Mixed Finite Element Methods,” Center for
Subsurface Modeling Industrial Affiliates Meeting, Oct. 2004.
390. “Physics Driven Algorithms for Modeling Subsurface Phenomena, New
Trends in Mathematical and Numerical Methods for Geosciences Direct and Inverse
Problems,” INRIA, Rocquencourt, France, December 9 -10, 2004.
391. Academy of Medicine, Engineering and Science of Texas, Dallas, Texas, January
6-7, 2005.
392. “Advanced Numerical Algorithms for Modeling Subsurface Phenomena,”
DOD Engineering Research and Development Center, Vicksburg, Mississippi, January
23, 2005.
393. “Multiscale Model of Angiogenesis,” Houston Society for Engineering
in Medicine and Biology, Houston, Texas, February 9-10, 2005.
394. “Petscale Computing in the Geosciences,” Petscales Compact
Simulation Application Workshop, ANL, March 22-23, 2005.
395. “Modeling Multiscale Phenomena with Mixed Finite Element Methods,”
Multiscale Workshop, ICES, The University of Texas at Austin, May 4-5, 2005.
396. “Physics-Driven Algorithms for Modeling Subsurface Phenomena,”
Thirteenth Conference on Finite Elements for Flow Problems, University of Wales
Swansea, Swansea Wales, United Kingdom, April 4-6, 2005.
397. “Geosystems Engineering Management,” Shell International Exploration
and Production, Rijswijk, Netherlands, April 7, 2005.
398. “Physics-Driven Algorithms for Reservoir Modeling,” Shell International
Exploration and Production, Rijswijk, Netherlands, April 8, 2005.
399. “Computational Environments for Coupling Multiphase Flow, Transport,
and Mechanics in Porous Media,” Center for Computation and Technology,
Computing for the Future, Louisiana State University, April 22, 2005.
400. “A Subgrid-scale Mortar Mixed Method for Modeling Flow in Porous
Media,” Workshop on Integrative Multiscale Modeling and Simulation in
Materials Science, Fluids and Environmental Science, Center for Mathematical
Research, University of Montreal, Canada, May 11-13, 2005.
401. “Physics-Driven Algorithms for Modeling Subsurface Phenomena,”
SIAM Conference on Mathematical and Computational Issues in the Geosciences,
Avignon, France, June 7-10, 2005.
402. “Finite Element Methods for Modeling Biot's Consolidation,”
SIAM Conference on Mathematical and Computational Issues in the Geosciences,
Avignon, France, June 7-10, 2005.
403. “Physics-Driven Multiscale Algorithms,” 8th U.S. National Congress
on Computational Mechanics, Austin, Texas, July 25, 2005.
404. “Physics-Driven Algorithms for Modeling Subsurface Phenomena,”
DOD Agent Fate Program, Kettering University, Flint, Michigan, September 28,
2005.
405. “Multiscale and Multiphysics Couplings,” Center for Subsurface
Modeling Industrial Affiliates Meeting, The University of Texas at Austin, Austin,
Texas, October 26, 2005.
406. “Multiscale Algorithms,” Douglas, Peaceman, Rachford Meeting,
Rice University, Houston, Texas, November 4, 2005.
407. “Computational Environments for Integration of Geophysics and Reservoir
Simulation,” SEG International Exposition and 75th Annual Meeting, Houston,
Texas, November 8, 2005.
408. “A Multiscale Model of Angiogenesis,” Department of Mathematics,
University of Pittsburgh, Pittsburgh, Pennsylvania, November 22, 2005.
409. PEMEX Overview of Research at ICES Center for Subsurface Modeling, The
University of Texas at Austin, January 9, 2006.
410. IMP Overview of Research at ICES Center for Subsurface Modeling, The University
of Texas at Austin, January 10, 2006.
411. “Numerical Computational Environments for Coupling Multiphase Flow,
Transport, and Mechanics in Porous Media,” Numerical Methods for Optimization
and Control over PDE, Centro de Investigacion en Matematicas (CIMAT), Guanajuato,
Mexico, January 11-13, 2006.
412. “Numerical Methods for Optimization and Control over PDE,”
Numerical Methods for Optimization and Control over PDE, Centro de Investigacion
en Matematicas (CIMAT), Guanajuato, Mexico, January 11-13, 2006.
413. “Discontinuous Galerkin Methods for Geoscience Applications in Porous
Media,” Numerical Methods for Optimization and Control over PDE, Centro
de Investigacion en Matematicas (CIMAT), Guanajuato, Mexico, January 11-13,
2006.
414. “Multiscale Angiogenesis Modeling” Numerical Methods for Optimization
and Control over PDE, Centro de Investigacion en Matematicas (CIMAT), Guanajuato,
Mexico, January 11-13, 2006.
415. National Science Foundation DDDAS Meeting, Computational Environments for
Integration of Geophysics and Reservoir Simulation, Washington, DC, January
19-20, 2006.
416. “ERDC Workshop: Mass Conservative Issues in Flow and Transport Modeling,”
ERDC, Vicksburg, Mississippi, February 23, 2006.
417. “PET Technical Review for Environmental Quality Modeling,”
Ohio State University, Columbus, Ohio, March 22, 2006.
418. “Computational Environments for Coupling Multiphase Flow, Transport,
and Mechanics in Porous Media,” Kisiel Lecture, Department of Hydrology
and Water Resources, University of Arizona, Tucson, Arizona, March 29, 2006.
419. “Computational Environments for Coupling Multiphase Flow, Transport,
and Mechanics in Porous Media,” Computational Applied Mathematics Seminar,
Purdue University, West Lafayette, Indiana, April 12, 2006
420. “Simulation and Control for Energy and Environmental Systems,”
External Advisory Committee Department of Aerospace and Engineering Mechanics,
The University of Texas at Austin, Austin, Texas, April 20, 2006.
421. “Multiscale Mortar Mixed Finite Element Method,” Porous Media
Day, Eindhoven University of Technology, Eindhoven, The Netherlands, April 25,
2006.
422. “Simulation and Control for Energy and Environmental Systems,”
Mechanics and Control Symposium, Eindhoven University of Technology, Eindhoven,
The Netherlands, April 26, 2006.
423. “A Multiscale Angiogenesis Model”, Invited Lecture, Institute
for Pure and Applied Mathematics, University of California at Los Angeles, Los
Angeles, California, May 9, 2006.
424. “Coupled Mixed and Galerkin Finite Element Methods for Poroelasticity,”
MAFELAP 2006 Zienkiewicz Lecture, Brunel University, Uxbridge, Middlesex, United
Kingdom, June 13, 2006.
425. “Discontinuous Galerkin Finite Element Solution for Poromechanics”,
MAFELAP 2006, Brunel University, Uxbridge, Middlesex, United Kingdom, June 14,
2006.
426. “Multiscale Mortar Mixed Finite Element Methods,” Workshop
on Computation of Flow and Transport in Heterogeneous Media, University of Bath,
Bath, United Kingdom, June 19, 2006.
427. “Computational Environments for Coupling Muliphase Flow, Transport
and Mechanics in Porous Media,” Computational Engineering and Sciences
Consortia, Technical University of Delft, Delft, The Netherlands, June 21, 2006.
428. “Local Conservation in Numerical Solutions and Its Recovery,”
DoD HPCMP Users Group Conference, Denver, Colorado, June 29, 2006.
429. “Multiscale Mortar Domain Decomposition Mixed Finite Element Methods,”
Plenary Speaker, Domain Decomposition 17, Strobl, Austria, July 7, 2006.
430. “Multiscale Mortar Domain Decomposition Mixed Finite Element Methods,”
Plenary Speaker, Domain Decomposition 17, Strobl, Austria, July 7, 2006.
431. “Multiscale Mixed Finite Elements for Multiphase Flow in Porous Media”,
ECMOR, Amsterdam, The Netherlands, September 5, 2006.
432. “Computational Environments for Coupling Muliphase Flow, Transport
and Mechanics in Porous Media,” Invited Lecture, Department for Mathematics,
Pennsylvania State University, University Park, Pennsylvania, October 5, 2006.
433. “Multiscale Angiogenesis Modeling Using Mixed Finite Element Methods”,
Invited Lecture, Department of Mathematics, Yonsei University, October 26, 2006.
434. “Multiscale Mixed Finite Elements for Multiphase Flow in Porous Media”,
Invited Presentation 60th Anniversary Korean Mathematics Society, Seoul National
University, October 27, 2006.
435. “Iterative Coupling of Multiphase Flow and Mechanics”, Invited
Lecture, Department of Mathematics Texas A & M University, November 11,
2006.
436. “Physics-Driven Algorithms for Modeling Subsurface Phenomena,”
Invited Lecture, SIAM Conference on Mathematical and Computational Issues, February
19, 2007.
437. “Domain Decomposition Multiscale Methods” Invited Lecture,
Glowinski Science Computational Science Conference, University of Houston, March
10, 2007.
438. “Iterative Coupling of Multiphase Flow and Mechanics,” SIAM
Geosciences Conference, Santa Fe New Mexico, March 19, 2007.
439. “Iterative Coupling of Multiphase Flow in Porous Media,” SIAM
Geosciences Conference, Santa Fe New Mexico, March 20, 2007.
440. “Environmental Quality Modeling,” DOD PET Review, Ohio State
University, March 22, 2007.
441. “Computational Environments for Coupling Flow, Transport, Chemistry
and Mechanics in Porous Media”, Invited Lecture, Third Annual Workshop
on Interdisciplinary Computational Science, University of Houston, March 23,
2007.
442. “Parallel Multiscale Mixed Method for Multiphase Flow and Reactive
Transport in Porous Media,” S. Thomas, SIAM Geoscience Meeting Santa Fe
New Mexico, March 19-22, 2007 Presentation made by graduate student Sunil Thomas
443. “Pore to Continuum Upscaling and Coupling Using Mortars,” with
M. Balhoff and S. Thomas, SIAM Geoscience Meeting Santa Fe New Mexico, March
19-22, 2007.
444. “Computational Environments for Coupling Flow, Transport, and Mechanics
in Porous Media,” Invited Lecture, Southwest Research Center, San Antonio,
Texas, April 3, 2007.
445. “Frontiers of Scientific Computing Lecture Series: Multiscales Discretizations
for Flow, Transport and Mechanics in Porous Media,” Center for Computation
and Technology, Louisiana State University, May 1, 2007.
446. “Multiscale Discretizations for Flow, Transport and Mechanics in
Porous Media,” ICIAM, July 16, 2007.
447. “Hybrid Optimization Algorithm for Solving Parameter Estimation Problems,”
with Argaez, M., Klie, H., Quintero, C., Velazquez, L., 6th International Congress
on Industrial and Applied Mathematics, Zurich, Switzerland, July, 16-20, 2007.
448. “Stochastic Krylov Subspace Methods for Flow in Random Porous Media,”
with Klie, H., Rodríguez, A., 6th International Congress on Industrial
and Applied Mathematics, Zurich, Switzerland, July, 16-20, 2007.
449. “Domain Decomposition Multiscale Methods for Flow in Porous Media,”
ICIAM, July 19, 2007.
450. “Multiscale Discretizations for Flow, Transport and Mechanics in
Porous Media,” Plenary Speaker, 9th US National Congress on Computational
Mechanics, July 24, 2007.
451. “Domain Decomposition Multiscale Methods for Flow in Porous Media,”
Advances in Scientific Computing, September 2007.
452. “Domain Decomposition Multiscale Methods for Flow in Porous Media,”
Inaugural speaker for our 2007-2008
Schlumberger-Tufts Computational and Applied Math Seminar Series, Tufts University,
September 20, 2007.
453. “Research at the Center for Subsurface Modeling,” Saudi Aramco
Technology Quest, November 2007.
454. “Coupling Discontinuous Galerkin and Mixed Finite Element Methods
Using Mortar Methods,” Conference on Discontinuous Galerkin Methods for
Partial Differential Equations, Banff, Canada, November 2007.
455. “Computational Environments for Modeling Carbon Sequestration,”
Modeling and Simulation Conference, INRIA, France, December 2007.
456. “Multiscale Discretizations for Flow, Transport, and Mechanics in
Porous Media,” Colloquium Speaker, Mathematics, Paris VI, France, December
2007.
457. “Grand Challenge Problem: Modeling Sequestration of CO2 in Saline
Aquifers,” Computer Sciences and Mathematics Colloquium Speaker, Oak Ridge
National Laboratory, May 6, 2008.
458. “Challenges of Modeling the Heterogeneity of Cancer: A Multiscale
Model of Angiogenesis,” National Cancer Institute, Ohio State University,
May 2008.
459. “Mortar Coupling of Multiphase Flow and Reactive Transport on Non-Matching
Grids,” Finite Volumes for Complex Applications V, Invited Speaker, Aussois,
France, June 2008.
460. “Grand Challenge Problem: Modeling Sequestration of CO2 in Saline
Aquifers,” IBM Austin Research Laboratory, Colloquium Speaker, June 20,
2008.
461. Gildin, E., Wheeler, M.F., “Model Reduction of Large-Scale Reservoirs
using the Generalized Low-Rank Approximation of Matrices,” invited talk
at the SPE Applied Technology Workshop, Bruges, Belgium, June 23-26, 2008.
462. “Multiphysics Couplings in Modeling Flow in Porous Media,”
Minisymposium on Multiphysics Couplings, SIAM National Meeting, July 2008.
463. “Computational Environments for Modeling Carbon Sequestration,”
CMWR XVII Keynote Speaker, July 2008.
464. “Time Stepping for Multiphysics Couplings in Porous Media Applications,”
Legacy of John Crank, Brunel University, July 2008.
465. “Multiscale Modeling Issues in Modeling Carbon Sequestration,”
Multiscale Modeling and Analysis Workshop, University of Texas at Austin, Aug.
7, 2008.
466. “Mortar Coupling of Discontinuous Galerkin and Mixed Finite Element
Methods,” 11th European Conference on the Mathematics of Oil Recovery
(ECMOR), Bergen, Norway, September 8-11, 2008.
467. “Modeling CO2 Sequestration Using a Sequentially Coupled ‘Iterative-IMPEC-time-split-thermal’
Compositional Simulator,” ECMOR XI, Bergen, Norway, September 8-11, 2008.
468. “Computational Environments for Coupling Multiphase Flow, Transport,
and Mechanics in Porous Media for Modeling Carbon Sequestration,” Distinguish
Lecture Series, Department of Civil, Environmental and Construction Engineering,
University of Central Florida, September 26, 2008.
469. “Multiscale Discretizations for Flow, Transport and Mechanics in
Porous Media,” Invited Speaker, International Conference Scaling Up and
Modeling for Transport and Flow in Porous Media, Dubrovnik, Croatia, October
13-16, 2008.
470. “Computational Frameworks for Subsurface Energy and Environmental
Modeling and Simulation,” Seminar Series, Department of Chemical Engineering,
Yale University, November 5, 2008.
471. “Computational Frameworks for Subsurface Energy and Environmental
Modeling and Simulation,” Plenary Address, SC08, Austin, Texas, November
15-21, 2008.
Numerical solution of coupled nonlinear partial differential equations
Fluid Mechanics
Porous Media
Carbon Sequestration in Saline Aquifers
Parallel Computation
1. Texas Geophysical Project, State of Texas, $800,000. September 1990 –
June 95.
2. NORCUS Professorship, Washington Universities and Batalle Pacific Northwest
National Laboratory, $25,000. 1991.
3. Center for Subsurface Modeling, Industrial Affiliates Program, with C. N.
Dawson, $175,000. June 1991 – August 1996.
4. “Numerical analysis and algorithm design,” Batalle-Pacific Northwest
National Laboratory, with T. Arbogast and C. N. Dawson, $125,000. May 1992 –
December 1996.
5. “Parallel algorithms for modeling for flow in permeable media,”
with G. Pope and K. Sephernoori, $275,000. May 1992 – August 1995.
6. Department of Energy “Partnership in computational science (PICS)”
with T. Arbogast and C. N. Dawson, $600,000. May 1992 – September 1997.
7. “Subsurface flow and transport parameter identification via inverse
simulation for the Savannah River Site,” Savannah River Laboratory, $24,000.
September 1992 – September 1994.
8. “Modeling of flow and sedimentation,” National Science Foundation,
$100,000. September 1992 – September 1994.
9. Texaco Corporation, $85,000. September 1992 – September 1995.
10. Texaco Graduate Fellowships, $45,000. September 1992 – September 1995.
11. Department of Energy Advanced Computational Technology Initiative - Development
of a New Generation Reservoir Simulator, with G. Pope, K. Sephernoori, T. Arbogast,
C. N. Dawson, D. McKinney, $289,250. September 1995 — September 1997.
12. NSF Center for Research in Parallel Computation, $660,000. November 1995
— January 1998.
13. Industrial Postdoctoral Fellowship, NSF-British Petroleum, with C. N. Dawson,
$110,000. November 1995 — November 1997.
14. NSF CISE Equipment Computer Science Equipment Award, with Don Fussell, P.
I., M. F. Wheeler, Investigator, $985,000. 1996.
15. Center for Subsurface Modeling, Industrial Affiliates Program, with T. Arbogast
and C. N. Dawson, $135,000. September 1996 — September 1997.
16. “Parallel algorithms for surface water flow and transport,”
National Science Foundation, with C. N. Dawson, G. Gray (Notre Dame), R. Glowinski
(University of Houston), and B. Ramaswamy (University of California at Santa
Barbara), $140,000. August 1994 — August 1998.
17. “Performance enhancement and training in environmental quality modeling,”
Department of Defense Computer Modernization Program, $262,240. April 1998 —
March 1999; $396,000. 1999-2000.
18. vBNS, Networking Proposal, with B. Bard, D. Cline, $375,000. 1997-1998.
19. Wonderland, 16 Intel processor Beowulf system, $40,000. March 1998—2003.
20. PC Cluster, CRPC Equipment, $255,000. 1998.
21. “Multi-block discretizations for multiphysics porous media problems,”
Department of Energy Proposal (with I. Yotov), $300,000. 1998-2001.
22. “Computer modeling for risk assessment and design in environmental
remediation using parallel finite elements,” ATP Proposal, State of Texas
(with G. Carey), $221,364. January 1998.
23. CRPC Physical Simulation, $168,000. 1998-99; $193,000. 1999-2000.
24. NPACI: Bays and Estuaries, $99,000. October 1997—October 1998.
25. NPACI: Petroleum Production and Environmental Remediation, $128,000. October
1997—October 1998.
26. “Multiscale physics-based simulation of fluid flow for energy and
environmental applications,” NSF KDI, $340,000. (with T. Arbogast, C.
N. Dawson, S. Bryant, and C. Bajaj, $1,700,000). October 1998—September
2001.
27. Center for Subsurface Modeling, Industrial Affiliates Program, with T. Arbogast
and C. N. Dawson, $120,000. September 1997 — September 1998
28. “Performance enhancement and training in environmental quality modeling,”
Department of Defense High Performance Computing Modernization Program, $293,000.
(total with C. Dawson, $434,916). April 1999 — April 2000.
29. “Multi block discretizations for multiphysics porous media problems”
Department of Energy Proposal, $202,000 (with I. Yotov, $300,000). 1998 —
2001.
30. “Computer modeling for risk assessment and design in environmental
remediation using parallel finite elements,” ATP Proposal, State of Texas,
$110,680 (total with G. Carey, $221,364). January 1998—January 2000.
31. “Modeling and computer simulation of environmental remediation using
parallel finite elements and PC clusters,” ATP/TD&T, $123,800 (total
with G. Carey, $247,600), 1999-2001.
32. Center for Subsurface Modeling, Industrial Affiliates Program, with C. N.
Dawson, $120,000. September 2000 — September 2001
33. “Multiscale physics-based simulation of fluid flow for energy and
environmental applications,” NSF KDI, $340,000 (total with T. Arbogast,
C. N. Dawson, S. Bryant, and C. Bajaj, $1,700,000). October 1998 — September
2001.
34. NPACI: Alpha Project on Coupling of Codes for Energy and the Environment,
$228,000. 2001-2002.
35. “Develop Two-way Coupled Fluid Flow and Geomechanical Deformation
Modeling,” Sandia National Laboratories, $70,000, 2000-2001.
36. DOD Performance Evaluation Training, Focused Effort on Multiphysics Couplings,
with C. N. Dawson, $68,000, 11/01—05/02.
37. DOD Performance Evaluation Training, Focused Effort on Enhancements to the
Adaptive Hydrology Model and CE-QUAL-ICM, with C. N. Dawson, $103,000, 11/01—10/02.
38. DOD High Performance Computing Modernization Program, Focused Effort on
Enhancement of ADH and CE-QUAL-ICM, with C. N. Dawson, $206,616, 10/02—9/03.
39. DOD High Performance Computing Modernization Program, Focused Effort on
Error Estimators/Indicators for Environmental Quality Modeling, with C. N. Dawson,
$139,625, 9/02—9/03.
40. NSF SCREMS Grant, “A Parallel Computer Cluster for Multiphysics &
Multiscale Modeling of Subsurface & Surface Flows,” $87,000, 9/02—8/04.
41. NPACI: Multi-component Models for Energy and Environment, with M. Peszynska,
R. Dean, X. Gai, and R. Martino, $290,000, 2001—2002.
42. NPACI: Alpha Project Reservior Simulation, $145,000. 08/02.
43. "A Data Intense Challenge: the Instrumented Oilfield of the Future,"
NSF ITR, $2,150,000 ($260,000 for M. F. Wheeler) with C. N. Dawson and H. Klie,
7/01.
44. DOD Performance Evaluation Training, Focused Effort on Error Estimators,
with C. N. Dawson, $94,572. 09/03-05/04.
45. DOD Performance Evaluation Training, Focused Effort on Linear & Non
Linear Solvers, with C. N. Dawson, $98,454, 09/03-05/04.
46. DOD Performance Evaluation Training, Core Support, $316,560, 06-04/05-05.
47. DOD Performance Evaluation Training, Focused Effort on Linear & Non
Linear Solvers, with H. Klie, $144,754, 06/04-05/05.
48. University of Texas M. D. Anderson Biomedical Engineering Seed Grant, $10,000
M. F. Wheeler with Shuyu Sun, September 1, 2003-2004.
49. DOD Performance Evaluation Training, Core Support, $335,222, 06/05-05/06.
50. DOD Performance Evaluation Training, Core Support, $152,558, 06/06-08/06.
51. DOD Performance Evaluation Training, Focused Effort on Automated Parameter
Estimation and Sensitivity Schemes, with H. Klie, $41,282, 06/06-05/07.
52. DOD Performance Evaluation Training, Focused Effort on Unstructured Grid
Flow and Transport, with C. N. Dawson, $193,500 Total, $96,750 to Wheeler, 06/06-05/07.
53. DOD Performance Evaluation Training, Core Support, $341,077, 06/06-05/07.
54. DOD Performance Evaluation Training, Focused Effort on Coupling Geophysics
and Multiphase Poroelasticity, A. Rodriguez, $41,282, 12/06-05/07.
55. DOE Discretizations & Solvers for Multiphysics Coupling in Energy &
Environment Applications, $336,231, 09/04-08/07.
Continuing Grants:
NSF Numerical Modeling of Coupled Ground & Surface Water Flow, with C.N.
Dawson, $400,000, 09/04-08/08
NSF ITR, “Collaborative Research—Data Driven Simulation of the Subsurface:
Optimization and Uncertainty Estimation,” $694,002 M. F. Wheeler with
C. N. Dawson, H. Klie, and P. Stoffa, 09/04-08/08.
DOD Performance Evaluation Training, Focused Effort on Automated Parameter Estimation
and Sensitivity Schemes, with H. Klie, $56,224, 06/07-05/08.
DOD Performance Evaluation Training, Focused Effort on Coupling Geophysics and
Multiphase Poroelasticity, with A. Rodriguez, $41,835, 06/07-05/08.
Environmental Quality Modeling Core, $350,737, 06/07-05/08.
NSF CMG Collaborative Research: Stochastic Multiscale Modeling of Subsurface
Flow and Reactive Transport, $275,000 Total, 09/06-08/10.
New Grants:
Center for Subsurface Modeling, Industrial Affiliates Program, BP, Aramco,
Chevron, Exxon-Mobile, IBM, ConocoPhillips, $266,000, 08/07-08/08.
“Comparison of Richard’s Equation and Two-Phase Models for DOD Applications,”
PET Supplementary, $50,000, 02/08-10/08.
Environmental Quality Modeling Core, $348,331, 06/08-05/09.
DOD Performance Evaluation Training, Focused Effort on Automated Parameter Estimation
and Sensitivity Schemes, with E. Gildin, $64,338, 06/08-05/09.
DOE Discretizations and Solvers for Multiphysics Coupling in Energy and Environmental
Applications, $519,858 Total, 03/01/08-02/28/11.
KAUST, $25,000, 01/07-01/08.
NSF CDI-Type II: Collaborative Research: Computational Models for Evaluating
Long Term CO2 Storage in Saline Aquifers, $2,000,000, total, $1,682,000, with
T. Arbogast, M. Delshad, 09/08-09/12.
NIMS Sandia Project, “National initiative for modeling and simulation-Energy,”
$100,000, 08/08-08/10.
KAUST AEA, Collaborative Research Grant, $431,253, total, 09/01/08-08/31/09.
Rice University
1. Rodney Grisham, 1976, “An Interior Penalty H1-Galerkin Procedure for
the Numerical Solution of Elliptic Partial Differential Equations.”
2. Linda Hayes, 1977, University of Texas at Austin, “Generalization of
Galerkin Alternating-Direction Methods to Nonrectangular Regions Using Isoparametric
Elements.”
3. Bruce Darlow, 1980, “A Penalty-Galerkin Method for Solving the Miscible
Displacement Problem.”
4. Charles Schweppe, 1981, “Error Estimates for Finite Element Methods
for Fourth Order Boundary Value Problems.”
5. Thomas Potempa, 1982, “Finite Element Dominated Transport Problems.”
6. Owen Palmer, 1983, “Error Estimates for Finite Element Methods Applied
to Contaminant Transport Equations.”
7. Chien Chang, 1985, “Numerical Simulation of Ground Water Contaminant
Transport on a Supercomputer with Injection Pumping Networks Using the Modified
MOC and MFE Method.”
8. Ruth Gonzalez, 1986, “Domain Decomposition for Two-dimensional Elliptic
Operators on Vector and Parallel Machines.”
9. John Killough, 1986, “Three Dimensional Domain Decomposition for Elliptic
and Parabolic Partial Differential Equations.”
10. Ashok Chilakapati, 1993, “Numerical Simulation of Reactive Flow and
Transport through the Subsurface.”
11. Clint Dawson, 1988, “Error Estimates for Godunov Mixed Methods for
Nonlinear Parabolic Equations.”
12. David Moissis, 1988, “Simulation of Viscous Fingering During Miscible
Displacement in Nonuniform Porous Media.”
13. Lawrence Cowsar, 1994, “Some Domain Decomposition and Multigrid Preconditioners
for Hybrid Mixed Finite Elements.”
14. Victor Parr, 1995, “Preconditioner Schemes for Elliptic Saddle-point
Matrices Based upon Jacobi Multi-band Polynomial Matrices.”
15. Ivan Yotov, 1996, “Mixed Finite Element Methods for Flow in Porous
Media,” (co-advised with C. N. Dawson).
16. Carol San Soucie, 1996, “Mixed Finite Element Methods for Variably
Saturated Subsurface Flows,” (co-advised with C. N. Dawson).
17. Hector Klie, 1996, “Krylov-Secant Methods for Solving Large Scale
Systems of Coupled Nonlinear Parabolic Equations.”
18. Fredrik Saaf, 1996, “A Study of Reactive Transport Phenomena in Porous
Media.”
19. Monica Martinez, 1998, “A Priori Error Estimates of Finite Element
Models Systems of Shallow Water Equations,” (co-advised with C. N. Dawson).
University of Texas
1. Carter Edwards, 1997, “A Parallel Infrastructure for Scalable Adaptive
Finite Element Methods and Its Applications to Least Squares C8 Collocation,”
(co-advised with R. van Geijn and L. Hayes)
2. Béatrice Rivière, 2000, “Discontinuous Galerkin Methods
for Solving the Miscible Displacement Problem in Porous Media.”
3. Qin Lu, 2000, “A Parallel Multi-Block/Multi-Physics Approach for Multi-Phase
Flow in Porous Media.”
4. Frank Joseph Eaton, 2001, “A Multigrid Preconditioner for Two-phase
Flow in Porous Media.”
5. Shuyu Sun, 2003, “Discontinuous Galerkin Methods for Reactive Transport
in Porous Media.”
6. Ruijie Liu, 2004, “Discontinuous Galerkin Finite Element Solution for
Poromechanics.”
7. Xiuli Gai, 2004, “A Coupled Geomechanics and Reservior Flow Model on
Parallel Computers”
8. Owen Eslinger, 2004, “Discontinuous Galerkin Finite Element Methods
Applied to Two-Phase, Air-Water Flow Problems”
9. Phillip J. Phillips, 2005, “Finite Element Methods in Linear Poroelasticity:
Theoretical and Computational Results.”
Myeong-Hwan Noh
Sujatha Sagiraju
Carey Varis
Xiaohong Wang
Tara LaForce, 2002
Changli Yuan, 2007
Omar al-Hinai
Jonas de Basabe Delgado
Horacio Flores
Sunil Thomas
Bin Wang
Nick Alger
Bo Lu, 2008
Ph.D. Committees – 2 (2 CAM)
Philip Keenan, Postdoctoral Fellow, 1993-1996
Carlos Celentano, Postdoctoral Fellow, 1994-1996
Susan Minkoff, Postdoctoral Fellow, 1995-1997
Wonsuck Lee, Postdoctoral Fellow, 1998-2000
Jichun Li, Postdoctoral Fellow, 1998-2000
Steve Bryant, Research Scientist, 1995-2003
Rick Dean, Senior Research Associate, 2000-2002
Martin Guillot, Assistant Professor, University of New Orleans, Summer 2000,
2001
Eleanor Jenkins, Postdoctoral Fellow, 2000-2002
Sebastian Lacroix, Graduate Student, Paris VI, France, 2000-2001
Phu Luong, Research Associate, 1999-2002
Victor Parr, Research Associate1997-2002
Malgorzata Peszynska, Research Associate,1998-2003
Béatrice Rivière, Postdoctoral Fellow, 1996-2002
Yuri Vassilevski, Research Associate, 2000-2001, Spring 2002
Krzystof Banas, Research Associate, 2000-2001
Wolfgang Bangerth, Postdoctoral Fellow, 2002-2005
Jeffrey Hensley, Research Scientist, 2002-2008
Shuyu Sun, Research Fellow, 2003-2006
Matthew Balhoff, Postdoctoral Fellow, 2005-2007
Xiuli Gai, Postdoctoral Fellow, 2004-2006
Hector Klie, Research Associate, 2003-2008
Adolfo Rodriguez, Research Fellow, 2005-2008
Jaroon Rungamornrat, Postdoctoral Fellow, 2004-2006
Oluwafemi Balogun, 2006
Gergina Pencheva, Postdoctoral Fellow, 2007-present
Tim Wildey, Postdoctoral Fellow, 2007-present
Eduardo Gildin, Postdoctoral Fellow, 2006-present
Mary F. Wheeler, Professor
The University of Texas at Austin
Department of Aerospace Engineering
and Engineering Mechanics
Dr. Mary Fanett Wheeler has served on the faculty since 1995 and is presently director of the Center for Subsurface Modeling in the Texas Institute for Computational and Applied Mathematics (TICAM). Her research interests include numerical solution of partial differential systems with application to the modeling of subsurface and surface flows and parallel computation. Her numerical work includes formulation, analysis and implementation of finite-difference/finite-element discretization schemes for nonlinear, coupled PDE’s as well as domain decomposition iterative solution methods. Her applications include reservoir engineering and contaminant transport in groundwater and bays and estuaries. Her current work has emphasized mixed finite-element and discontinuous Galerkin methods for modeling reactive multi-phase flow and transport in a heterogeneous porous media, with the goal of simulating these systems on parallel computing platforms. Dr. Wheeler has published more than 100 technical papers and edited seven books. She is currently an editor of six technical journals and managing editor of Computational Geosciences. In 1998 she was elected to the National Academy of Engineering.
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