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Publications

2011

• Demkowicz, L. and Gopalakrishnan, J., "A Class of Discontinuous Petrov-Galerkin Methods. Part II: Optimal Test Functions", Numer. Meth. Part. D. E. 27: 70-105, 2011.


• Roberts, N.V. and Ridzal, D. and Bochev, P.N. and Demkowicz, L. and Peterson, K.J. and Siefert Ch. M., "Application of a Discontinuous Petrov-Galerkin Method to the Stokes Equations" 2011.


• Jurani, Ch. and Demkowicz, L., "Multiscale Modeling Using Goal-oriented Adaptivity and Numerical Homogenization. Part I: Mathematical Formulation", CMAME, 2011.


• Jurani, Ch. and Demkowicz, L., "Multiscale Modeling Using Goal-oriented Adaptivity and Numerical Homogenization. Part II: Numerical Results", CMAME, 2011.


• Qiu, W. and Demkowicz, L., "Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Stability Analysis in 3D", SIAM J. Num. Anal., 2011.


• Zitelli, J. and Muga, I. and Demkowicz, L. and Gopalakrishnan, J. and Pardo, D. and Calo, V., "A Class of Discontinuous Petrov-Galerkin Methods. Part IV: Wave Propagation Problems", J. Comp. Phys. 230: 2406-2432, 2011.


• Demkowicz, L. and Gopalakrishnan, J., "A New Paradigm for Discretizing Difficult Problems: Discontinuous Petrov Galerkin Method with Optimal Test Functions ", 2011.


• Niemi, A.H. and Bramwell, J.A. and Demkowicz, L.F., "Discontinuous Petrov--Galerkin Method with Optimal Test Functions for Thin-Body Problems in Solid Mechanics", Comput. Methods Appl. Mech. Engrg. 200: 1291-1300, 2011.


• Bramwell, J. and Demkowicz, L. and Gopalakrishnan, J. and Qiu, W., "A Locking-free hp DPG Method for Linear Elasticity with Symmetric Stresses", Institute for Mathematics and Its Applications Report 2369/2011.


• Demkowicz, L. and Gopalakrishnan, J., "Analysis of the DPG Method for the Poisson Problem", SIAM J. Num. Anal., 2011.


• Demkowicz, L. and Gopalakrishnan, J. and Muga, I. and Zitelli, J., "Wavenumber Explicit Analysis for a DPG Method for the Multidimensional Helmholtz Equation", ICES Report 24/2011.


• L. Demkowicz, L. and Gopalakrishnan, J. and Schoeberl, J., "Polynomial Extension Operators. Part III", Math. Comp., 2011.


• Demkowicz, L. and Qiu, W., "Mixed Variable Order h-Finite Element Method for Linear Elasticity. Curvilinear Elements in 2D", CMAM, 2011.


• Bui-Thanh, T. and Demkowicz, L. and Ghattas, O., "Constructively Well-Posed Approximation Methods with Unity Inf-Sup and Continuity", ICES Report 10/2011.


• Niemi, H.A. and Babuska, I. and Pitkaranta, J. and Demkowicz, L., "Finite Element Analysis of the Girkmann Problem Using the Modern hp-Version and the Classical h-Version", Engineering with Computers, 2011.


• Boffi, D. and Costabel, M. and Dauge, M. and Demkowicz, L. and Hiptmair, R., "Discrete Compactness for the p-Version of Discrete Differential Forms", SIAM J. Num. Anal. 49 (1), 2011.


• Demkowicz, L. and Gopalakrishnan, J. and Muga, I. and Pardo, D., "A Pollution Free DPG Method for Multidimensional Helmholtz Equation", ICES Report 2011.


• Demkowicz, L. and Heuer, N., "Robust DPG Methods for 1D Convection-Dominated Diffusion Problems", ICES Report 2011.


• Demkowicz, L. and Heuer, N., "Robust DPG Method for Convection-Dominated Diffusion Problems", ICES Report 2011.


• Demkowicz, L. and Li, J., "Numerical Simulations of Cloaking Problems using a DPG Method", ICES Report 31/2011.


• Matuszyk, P. and Demkowicz, L., "Parametric Finite Elements, Exact Sequences, and Perfectly Matched Layers", ICES Report 41/2011.

2010

• Demkowicz, L. and Gopalakrishnan, J., "A Class of Discontinuous Petrov-Galerkin Methods. Part I: The Transport Equation", Comput. Methods Appl. Mech. Engrg. (23-24): 1558--1572, 2010.


• Gatto, P. and Demkowicz, L., "Construction of H^1-Conforming Hierarchical Shape Functions for Elements of All Shapes and Transfinite Interpolation", Finite Elements in Analysis and Design 46: 474--486, 2010.


• Demkowicz, L. and Kurtz, J. and Qiu, F., "hp-Adaptive Finite Elements for Coupled Multiphysics Wave Propagation Problems": 19--42, 2010.


• Oden, J.T. and Demkowicz, L.F., Applied Functional Analysis for Science and Engineering, Chapman & Hall/CRC Press, 2010.


• Demkowicz, L. and Gopalakrishnan, J. and Niemi, A., "A Class of Discontinuous Petrov-Galerkin Methods. Part III: Adaptivity.", ICES Report 1/2010.


• Demkowicz, L. and Gatto, P. and Kurtz, J. and Paszynski, M. and Rachowicz, W. and Bleszynski, E. and Bleszynski, M. and Hamilton, M. and Champlin, C., "Modeling of Bone Conduction of Sound in the Human Head Using hp Finite Elements. I. Code Design and Verification", CMAME, 2010.


• Demkowicz, L. and Kurtz, J., "An hp Framework for Coupled Multiphysics Problems", ICES Report 2010.


• Qiu, W. and Demkowicz, L., "Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry II: Curvilinear Elements in 2D", ICES Report 6/2010.


• Qiu, W. and Demkowicz, L., "Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry III: Stability Analysis in 3D", ICES Report 27/2010.


• Chan, J. and Demkowicz, L. and Moser, R. and Roberts, N., "A Class of Discontinuous Petrov--Galerkin Methods. Part V: Solution of 1D Burgers and Navier--Stokes Equations", ICES Report 25/2010.

2009

• Demkowicz, L. and Gatto, P. and Qiu, W. and Joplin, A., "G^1-Interpolation and Geometry Reconstruction for Higher Order Finite Elements", Comput. Methods Appl. Mech. Engrg. 198 (13-14): 1198--1212, 2009.


• L. Demkowicz, L. and Gopalakrishnan, J. and Schoeberl, J., "Polynomial Extension Operators. Part II", SIAM J. Numer. Anal. 47: 3293--3324, 2009.


• Michler, Ch. and Demkowicz, L. and Torres-Verdin, C., "Numerical Simulation of Borehole Acoustic Logging in the Frequency and Time Domains with hp-Adaptive Finite Elements", Comput. Methods Appl. Mech. Engrg. 198: 1821-1838, 2009.


• Qiu, W. and Demkowicz, L., "Mixed hp-finite element method for linear elasticity with weakly imposed symmetry", Comput. Methods Appl. Mech. Engrg. 198: 3682--3701, 2009.


• Weggler, L. and Demkowicz, L., "Variational Formulations for Time Harmonic Maxwell Equations", ICES Report 09/2009.


• Jurani, Ch. and Demkowicz, L., "Multiscale Modeling Using Goal-oriented Adaptivity and Numerical Homogenization. Part I: Mathematical Formulation", ICES Report 34/2009.


• Jurani, Ch. and Demkowicz, L., "Multiscale Modeling Using Goal-oriented Adaptivity and Numerical Homogenization. Part II: Numerical Results", ICES Report 35/2009.


• Jurani, Ch. and Demkowicz, L., "Multiscale Modeling Using Goal-oriented Adaptivity and Numerical Homogenization. Part III: Algorithms for Moore--Penrose Pseudoinverse", ICES Report 35/2009.

2008

• L. Demkowicz, L. and Gopalakrishnan, J. and Schoeberl, J., "Polynomial Extension Operators. Part I", SIAM J. Numer. Anal. 46: 3006--3031, 2008.


• Ainsworth, M. and Demkowicz, L., "Explicit polynomial Preserving Trace Liftings on a Triangle", Math. Nachr. 282 (5): 640--658, 2008.


• Pardo, D. and Demkowicz, L. and Torres-Verdin, C. and Michler, C., "PML Enhanced with a Self-Adaptive Goal-Oriented hp Finite-Element Method and Applications to Through-Casing Borehole Resistivity Measurements", SIAM Journal on Scientific Computing 30 (6): 2948-2964, 2008.


• Demkowicz, L., "Polynomial Exact Sequences and Projection-Based Interpolation with Applications to Maxwell Equations": 101-158 1939, 2008.


• Paszynski, M. and Pardo, D.and Torres-Verdin, C. and Demkowicz, L. and Calo, V., "A Multi-Level Direct Substructuring Multi-Frontal Parallel Direct Solver for hp-Finite Element Method", Parallel Computing, 2008.


• Costabel, M. and Dauge, M. and Demkowicz, L., "Polynomial Extension Operators for H^1, bfH(rm bf curl) and bfH(rm div) Spaces on a Cube", Math. Comp. 77 (264): 1967--1999, 2008.


• Garcia-Castillo, L.E. and Pardo, D. and Demkowicz, L., "Energy-Norm and Goal-Oriented Based Automatic hp-Adaptivity for Electromagnetics. Application to the Analysis of H-Plane and E-Plane Rectangular Waveguide Discontinuities", IEEE Transactions on Microwave Theory and Techniques, 2008.


• Demkowicz, L., "Finite Element Methods for Maxwell Equations": 723-737, 2008.

2007

• Ainsworth, M. and Demkowicz, L. and Kim, Chang-Wan., "Analysis of the Equilibriated Residual Method for a-Posteriori error Estimation on Meshes with Hanging Nodes", Comput. Methods Appl. Mech. Engrg. 196 (37-40): 3493--3507, 2007.


• Kurtz, J. and Demkowicz, L., "A Fully Automatic hp-Adaptivity for Elliptic PDE's in Three Dimensions", Comput. Methods Appl. Mech. Engrg. 196 (37-40): 3534--3545, 2007.


• Demkowicz, L. and Kurtz, J. and Pardo, D. and Paszy'nski, M. and Rachowicz, W. and Zdunek, A., Computing with hp Finite Elements. II. Frontiers: Three-Dimensional Elliptic and Maxwell Problems with Applications, Chapman & Hall/CRC, 2007.


• Michler, Ch. and Demkowicz, L. and Kurtz, J. and Pardo, D., "Improving the Performance of Perfectly Matched Layers by Means of hp-Adaptivity", Numer. Meth. Part. D. E. (4): 832--858, 2007.


• Garcia, L. and Pardo, D. and Demkowicz, L., "A Two-Dimensional Self-Adaptive hp Finite Element Method for the Characterization of Waveguide Discontinuities. Part I: Energy-Norm Based Automatic hp-Adaptivity ", Comput. Methods Appl. Mech. Engrg. 196 (49), 2007.


• Pardo, D. and Garcia, L. and Demkowicz, L., "A Two-Dimensional Self-Adaptive hp Finite Element Method for the Characterization of Waveguide Discontinuities. Part II: Goal-Oriented hp-Adaptivity ", Comput. Methods Appl. Mech. Engrg. 196 (49): 4811-4822, 2007.


• Demkowicz, L. and Kurtz, J., "Projection-Based Interpolation and Automatic hp-Adaptivity for Finite Element Discretizations of Elliptic and Maxwell Problems", 2007.


• Paszynski, M. and Pardo, D. and Demkowicz L. and Torres-Verdin, C., "An algorithm for transferring 2D arbitrary hp-refined finite element axially symmetric meshes to three dimensions,", 2007.


• Gomez-Revuelto, I. and Garcia-Castillo, L.E. and Pardo, D. and Demkowicz, L., "A Two-Dimensional Self-Adaptive hp Finite Element Method for the Analysis of Open Region Problems in Electromagnetics", IEEE Transactions on Magnetics 43 (4): 1337-1340, 2007.


• Pardo, D. Torres-Verdin, C. and Demkowicz, L., "Feasibility Study for Two-Dimensional Frequency Dependent Electromagnetic Sensing Through Casing", Geophysics 72 (3): F111-F118, 2007.


• Pardo, D. and Demkowicz, L. and Torres-Verdin, C. and Paszynski, M., "A Goal Oriented hp-Adaptive Finite Element Strategy with Electromagnetic Applications. Part II: Electrodynamics", Computer Methods in Applied Mechanics and Engineering 196 (37-40): 3585-3597, 2007.


• Pardo, D. and Paszynski, M. and Torres-Verdin, C. and Demkowicz, L., "Simulation of 3D DC Borehole Resistivity Measurements with a Goal-Oriented hp-Finite Element Method. Part I: Laterolog and LWD", IEEE Geoscience and Remote Sensing Letters, 2007.


• Pardo, D. and Paszy'nski, M. and Torres-Verdin C. and Demkowicz, L., "Simulation of 3D DC Borehole Resistivity Measurements with a Goal-Oriented hp Finite Element Method. Part I: Laterog and LWD ", Journal of the Serbian Society for Computational Mechanics 1: 62-73, 2007.


• Xue, Dong and Demkowicz, L. and Hao Ling, "A 3D hp Finite/Infinite Element Method to Calculate Power Deposition in the Human Head", IEEE Transactions on Biomedical Engineering 54 (4): 734-741, 2007.


• Pardo, D. and Torres-Verdin, C. and Demkowicz, L., "Numerical Simulation of 3D EM Borehole Measurements Using an hp-Adaptive Goal-Oriented Finite Element Method", 2007.

2006

• Pardo, D. and Demkowicz, L. and Torres-Verdin, C. and Tabarovsky, L., "A Goal-Oriented hp-Adaptive Finite Element Method with Electromagnetic Applications. Part 1: Electrostatics", Int. J. Num. Meth. Eng. 65 (8): 1269--1309, 2006.


• Boffi, D. and Dauge, M. and Costabel, M. and Demkowicz, L., "Discrete Compactness for the hp Version of Rectangular Edge Finite Elements", SIAM J. on Numer. Anal. 44 (3): 979-1004, 2006.


• Demkowicz, L. and Kurtz, J., "Conjugated Bubnov-Galerkin Infinite Element for Maxwell Equations" 142, 2006.


• Demkowicz, L., "Babuvska Leftrightarrow Brezzi ?", ICES Report 08/2006.


• Oden, J.T. and Browne, J.C. and Babuvska, I. and Bajaj, Ch. and Demkowicz, L. and Gray. L. and Bass, J. and Feng, Y. and Prudhomme, S. and Nobile, F. and Tempone, R., "A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations" 2006.


• Rachowicz, W. and Pardo D. and Demkowicz L., "Fully Automatic hp-Adaptivity in Three Dimensions", Comput. Methods Appl. Mech. Engrg. 195: 4816-4842, 2006.


• Paszynski, M. and Pardo, D. and Demkowicz L. and Torres-Verdin, C., "Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments": 635-642, 2006.


• Pardo, D. and Torres-Verdin, C. and Paszynski, M. and Michler, Ch. and Demkowicz, L., "Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments", 2006.


• Paszy'nski, M. and Demkowicz, L., "Parallel Fully Automatic hp-Adaptive 3D Finite Element Package", Engineering with Computers 22 (3-4): 255-276, 2006.


• Demkowicz, L., Computing with hp Finite Elements. I.One- and Two-Dimensional Elliptic and Maxwell Problems, Chapman & Hall/CRC Press, Taylor and Francis, 2006.


• D"uster, A. and Demkowicz, L. and Rank, E., "High Order Finite Elements Applied to the Discrete Boltzmann Equation", Int. J. Num. Meth. Eng. 67 (8): 1094--1121, 2006.


• Pardo, D. and Demkowicz, L. and Torres-Verdin C. and Paszy'nski M., "Simulation of Resistivity Logging-While-Drilling (LWD) Measurements Using a Self-Adaptive Goal-Oriented hp Finite Element Method", SIAM J. on Appl. Math. 66: 2085-2106, 2006.


• Paszynski, M. and Pardo, D. and Demkowicz, L. and Torres-Verdin C., "Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments", ICES Report 01/2006.


• Jhurani, Ch. and Demkowicz, L., "A Goal-Oriented hp-Adaptive Dimensional Reduction Method for One-Dimensional Network of Linear Springs", ICES Report 15/2006.


• Jhurani, Ch. and Demkowicz, L., "Dimensional Reduction For a Lattice-Like Mass-Spring Polymer Model Using hp-Adaptivity", Computer Methods in Materials Science 6 (3-4): 1-11, 2006.


• Pardo, D. and Torres-Verdin, C. and Demkowicz, L., "Simulation of Multi-Frequency Borehole Resistivity Measurements Through Metal Casing Using a Goal Oriented hp Finite Element Method", IEEE Transactions on Geoscience and Remote Sensing 44 (8): 2125-2135, 2006.

2005

• Oden, J.T. and Prudhomme, S. and Demkowicz, L., "A Posteriori Error Estimation for Acoustic Wave Propagation Problems", Arch. Comput. Meth. Engng. 12 (4): 343-389, 2005.


• Cao, W. and Demkowicz, L., "Optimal Error Estimate for the Projection Based Interpolation in Three Dimensions", Comput. Math. Appl. 50: 359-366, 2005.


• Demkowicz, L., "Fully Automatic hp-Adaptivity for Maxwell's Equations", Comput. Methods Appl. Mech. Engrg. 194: 605-624, 2005.


• Demkowicz, L. and Buffa, A., "H^1, H(rm curl) and H(rm div)-Conforming Projection-Based Interpolation in Three Dimensions. Quasi-Optimal p-Interpolation Estimates", Comput. Methods Appl. Mech. Engrg 194: 267-296, 2005.


• Demkowicz, L. and Shen, J., "A Few New (?) Facts about Infinite Elements", Comput. Methods Appl. Mech. Engrg., 2005.


• Gopalakrishnan, J. and Garc'ia-Castillo, L.E. and Demkowicz, L., "N'ed'elec Spaces in Affine Ccordinates", Comput. Math. Appl. 49: 1285-1294, 2005.


• Pardo, D. and Demkowicz, L., "Integration of hp-Adaptivity and Multigrid. I. A Two Grid Solver for hp Finite Elements", Comput. Methods Appl. Mech. Engrg. 195 (7-8): 674-710, 2005.


• Paszy'nski, M. and Demkowicz, L. and Pardo, D., "Verification of Goal-Oriented hp-Adaptivity", Comput. Math. Appl. 50: 1395-1404, 2005.


• Paszy'nski, M. and Kurtz, J. and Demkowicz, L., "Parallel, Fully Automatic hp-Adaptive 2D Finite Element Package", Comput. Methods Appl. Mech. Engrg. 195 (7-8): 711-741, 2005.


• D. Xue, "Control of Geometry Error in hp Finite Element Simulations of Electromagnetic Waves", 2005.


• Xue, D. and Demkowicz, L. and Ling, H., "Application of Coupled Finite/Infinite Element Method to Modelling of Absorption and Scattering of EM Waves", ICES Report 58/2005.

2004

• Demkowicz, L., "Projection Based Interpolation", 2004.


• Demkowicz, L., "Finite Element Methods for Maxwell Equations": 723-737, 2004.


• Gopalakrishnan, J. and Demkowicz, L., "Quasioptimality of Some Spectral Mixed Methods", J. Comput. Appl. Math. 167 (1): 163-182, 2004.


• Gopalakrishnan, J. and Pasciak, J. and Demkowicz, L., "Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations", SIAM J. Num. Anal. 42 (1): 90-108, 2004.


• Oden, J.T. and Browne, J.C. and Babuvska, I. and Liechti, K.M. and Feng, Y. and Bass, J. and Hosatte, J. and Mahmood, N. and Demkowicz, L. and Prudhomme, S. and Nobile, F. and Tempone, R., "A Computational Infrastructure for Reliable Computer Simulations", ICES Report 6/2004.


• Pardo, D. and Demkowicz, L. and Gopalakrishnan, J., "Integration of hp-Adaptivity and a Two-Grid Solver. Part 2: Electromagnetic Problems", ICES Report 58/2004.


• Solin, P. and Demkowicz, L., "Goal-Oriented hp-Adaptivity for Elliptic Problems", Comput. Methods Appl. Mech. Engrg. 193: 44-468, 2004.


• Walsh, T. and Demkowicz, L. and Charles, R., "Boundary Element Modeling of the External Human Auditory System", J. Acoust. Soc. Am. 115 (3), 2004.


• Xue, D. and Demkowicz, L., "Control of Geometry Induced error in hp Finite Element Simulations", International Journal of Numerical Analysis and Modeling 1: 112-129, 2004.


• Xue, D. and Demkowicz, L. and Bajaj, Ch., "Reconstruction of G^1 Surfaces with Biquartic Patches for hp FE Simulations": 323-332 13, 2004.

2003

• Boffi, D. and Demkowicz, L. and Costabel, M., "Discrete compactness for p and hp 2D edge finite elements", Math. Models Methods Appl. Sci. 13 (11): 1673--1687 (2 024 467), 2003.


• Cecot, W. and Demkowicz, L. and Rachowicz, W., "An hp-Adaptive Finite Element Method for Electromagnetics. Part 3: A Three-Dimensional Infinite Element for Maxwell's Equations", Int. J. Num. Meth. Eng. 57: 899-921, 2003.


• Demkowicz, L. and Babuvska, I., "p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions", SIAM J. Numer. Anal. 41 (4): 1195--1208 (electronic), 2003.


• Vardapetyan, L. and Demkowicz, L. and Neikirk, D., "hp Vector Finite Element Method for Eigenmode Analysis of Waveguides", Comput. Methods Appl. Mech. Engrg. 192: 185-201, 2003.


• Xue, D. and Demkowicz, L. and Zdunek, A., "An Interface Between Geometrical Modeling Package (GMP) and Mesh-Based Deometry (MBG)", ICES Report 2003.


• Xue, D. and Demkowicz, L. and Rachowicz, W., "Reconstruction of G^1 Surfaces with Biquartic Patches and Other Techniques", ICES Report 2003.


• Walsh, D. and Demkowicz, L., "hp Boundary Element Modeling of the External Human Auditory System - Goal Oriented Adaptivity with Multiple Load Vectors", Comput. Methods Appl. Mech. Engrg. 192: 125-146, 2003.

2002

• Demkowicz, L. and Rachowicz, W. and Devloo, Ph., "A Fully Automatic hp-Adaptivity", Journal of Scientific Computing 17 (1-3): 127-155, 2002.


• Demkowicz, L., "2D hp-Adaptive Finite Element Package (2Dhp90). Version 2.0", TICAM Report 2002.


• Demkowicz, L. and Pardo, D. and Rachowicz, W., "3D hp-Adaptive Finite Element Package (3Dhp90). Version 2.0", TICAM Report 2002.


• Bajer, A. and Demkowicz, L., "Dynamic Contact/Impact Problems", Comput. Methods Appl. Mech. Engrg. 191 (37-38): 4159-4191, 2002.


• Rachowicz, W. and Demkowicz, L., "An hp-adaptive finite element method for electromagnetics. Part 2: A 3D implementation", Internat. J. Numer. Methods Engrg. 53 (1): 147--180, 2002.


• Vardapetyan, L. and Demkowicz, L., "Full-Wave Analysis of Dielectric Waveguides at a Given Frequency", Mathematics of Computation 72: 105-129, 2002.


• Xue, D.and Demkowicz, L., "Geometrical Modeling Package. Version 2.0", TICAM Report 2002.

2001

• Monk, P. and Demkowicz, L., "Discrete compacness and the approximation of Maxwell's equations in doubleIR^3", Mathematics of Computation 70 (234): 507-523, 2001.


• Demkowicz, L. and Bajer, A., "Conservative Discretization of Contact/Impact Problems for Nearly Rigid Bodies", Comput. Methods Appl. Mech. Engrg. 190 (15-17): 1903-1924, 2001.


• Demkowicz, L. and Ihlenburg, F., "Analysis of a Coupled Finite-Infinite Element Method for Exterior Helmholtz Problems", Numer. Math. 88: 43-73, 2001.


• Walsh, T. and Demkowicz, L., "hp-Adaptive BE Modeling of the Human Ear Acoustics", 2001.

2000

• Cecot, W. and Demkowicz, L. and Rachowicz, W.., "A Two-Dimensional Infinite Element for Maxwell's Equations", Comput. Methods Appl. Mech. Engrg. 188: 625-643, 2000.


• Demkowicz, L. and Monk, P. and Schwab, Ch. and Vardapetyan, L., "Maxwell Eigenvalues and Discrete Compactness in Two Dimensions", Comput. Math. Appl. 40 (4-5): 598-605, 2000.


• Demkowicz, L. and Monk, P. and Vardapetyan, L. and Rachowicz, "De Rham Diagram for hp Finite Element Spaces", Comput. Math. Appl. 39 (7-8): 29--38, 2000.


• Demkowicz, L., "Edge Finite Elements of Variable Order for Maxwell's Equations": 15-34, 2000.


• Rachowicz, W. and Demkowicz, L., "An hp-Adaptive Finite Element Method for Electromagnetics. Part 1: Data Structure and Constrained Approximation", Comput. Methods Appl. Mech. Engrg. 187: 625-643, 2000.

1999

• Cecot, W. and Demkowicz, L. and Rachowicz, W., "Infinite Element for Maxwell's Equations", Cracow University of Technology Report 1999.


• Chang, Y.C. and Demkowicz, L., "Solution of Viscoelastic Scattering Problems Using Coupled hp BE/FE Methods", Int. J. Num. Meth. Eng. 44 (12): 1885-1907, 1999.


• Demkowicz, L. and Bajer, A. and Rachowicz, W. and Gerdes, K., "3D hp-Adaptive Finite Element Package. Fortran 90 Implementation", TICAM Report 1999.


• Demkowicz, L. and Kim, Chang-wan , "1D hp-Adaptive Finite Element Package. Fortran 90 Implementation (1Dhp90)", TICAM Report 1999.


• Rachowicz, R. and Demkowicz, L. and Bajer, A. and Walsh, T., "A Two-Grid Iterative Solver for Stationary Maxwell's Equations" 1999.


• Rachowicz, W. and Demkowicz, L. and Vardapetyan, L., "hp-Adaptive FE Modeling for Maxwell's Equations. Evidence of Exponential Convergence" 1999.


• Vardapetyan, L. and Demkowicz, L., "hp-Adaptive Finite Elements in Electromagnetics", Comput. Methods Appl. Mech. Engrg. 169: 331-344, 1999.


• Walsh, T. and Demkowicz, L., "A Parallel Multifrontal Solver for hp-Adaptive Finite Elements", TICAM Report 1/1999.


• Rachowicz, W. and Demkowicz, L., "An hp-Adaptive Finite Element Method for Electromagnetics", Cracow University of Technology Report 1999.

1998

• Chang, Y.C. and Demkowicz, L., "A Stability Analysis for Vibrating Viscoelastic Spherical Shells", Taiwanese Journal of Mathematics 2 (2): 213-242, 1998.


• L. Demkowicz, "A Posteriori Error Analysis for Steady-State Maxwell's Equations", 1998.


• Demkowicz, L. and Gerdes, K., "Convergence of the Infinite Element Method for the Helmholtz Equation in Seperable Domains", Numer. Math. 79 (1): 11-42, 1998.


• Demkowicz, L. and Gerdes, K. and Schwab, Ch. and Bajer, A. and Walsh, T., "HP90: A General and Flexible Fortran 90 hp-FE Code", Computing and Visualization in Science 1: 145-163, 1998.


• Demkowicz, L. and Pal, M., "An Infinite Element for Maxwell's Equations", Comput. Methods Appl. Mech. Engrg. 164: 77-94, 1998.


• Demkowicz, L. and Vardapetyan, L., "Modeling of Electromagnetic Absorption/Scattering Problems Using hp-Adaptive Finite Elements", Comput. Methods Appl. Mech. Engrg. 152 (1-2): 103-124, 1998.


• Demkowicz, L. and Walsh, T. and Gerdes, K. and Bajer, A., "2D hp-Adaptive Finite Element Package. Fortran 90 Implementation", TICAM Report 1998.

1997

• Bana's, K. and Demkowicz, L., "New Quasi-natural Artificial Viscosity models for Compressible Fluid Flow with an Improved Entropy Production Mechanism", Journal of Theoretical and Applied Mechanics 35 (2): 233-248, 1997.

1996

• Demkowicz, L., "Viscoelastic Vibrations in Fluid. Analysis of a Model Problem", TICAM Report 12/1996.


• Demkowicz, L. and Ihlenburg, F., "Analysis of a Coupled Finite-Infinite Element Method for Exterior Helmholtz Problems", TICAM Report 52/1996.


• Demkowicz, L. and Oden, J.T., "Application of hp-Adaptive BE/FE Methods to Elastic Scattering", Comput. Methods Appl. Mech. Engrg. 133 (3-4): 287-318, 1996.


• Bana's, K. and Demkowicz, L., "Entropy Controlled Adaptive Finite Element Simulations for Compressible Gas Flow", Journal of Computational Physics 126: 181-201, 1996.


• Geng, P. and Oden, J.T. and Demkowicz, L., "Solution of Exterior Acoustic Problems by the Boundary Element Method at High Wave Number. Error estimation and Parallel Computation", Journal of Acoustical Society of America 100 (1): 335-345, 1996.


• Gerdes, K. and Demkowicz, L., "Solution of 3D Laplace and Helmholtz Equation in Exterior Domains Using hp Infinite Elements", Comput. Methods Appl. Mech. Engrg. 137: 239-274, 1996.


• Gerdes, K. and Demkowicz, L., "Solution of 3D Helmholtz Equation in Exterior Domains Using Coupled hp Infinite/Finite Element Methods", TICAM Report 12/1996.


• Oden, J.T. and Demkowicz, L.F., Applied Functional Analysis for Science and Engineering, CRC Press, 1996.

1995

• Chang, Y.C. and Demkowicz, L., "Vibrations of a Spherical Shell. Comparison of 3D Elasticity and Kirchhoff Shell Theory Results", Computer Assisted Mechanics and Engineering Science 2: 187-206, 1995.


• Chang, Y.C. and Demkowicz, L., "Scattering on a Spherical Shell Problem. Comparison of 3D Elasticity and Kirchhoff Shell Theory Results", Computer Assisted Mechanics and Engineering Science 2: 207-229, 1995.

1994

• Demkowicz, L., "Asymptotic Convergence in Finite and Boundary Element Methods. Part 1: Theoretical Results", Computers & Mathematics with Applications 27 (12): 69-84, 1994.


• Demkowicz, L., "Asymptotic Convergence in Finite and Boundary Element Methods. Part 2: The LBB Constant for Rigid and Elastic Problems", Computers & Mathematics with Applications 28 (6): 93-109, 1994.


• Demkowicz, L. and Oden, J. T., "Recent Progress on Applications of hp-Adaptive BE/FE Methods to Elastic Scattering", Int. J. Num. Meth. Eng. 37: 2893-2910, 1994.


• Oden, J.T. and Safjan, A. and Geng, P. and Demkowicz, L., "High Order, Multi-Level, Adaptive Time-Domain Methods for Structural Acoustics Simulations", TICAM Report 14/1994.

1993

• Demkowicz, L. and Bana's, K., "3D hp Adaptive Package", Section of Applied Mathematics Report 2/1993.


• Edwards, G. M. and Oden, J. T. and Demkowicz, L., "An h-r Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions", SIAM Journal of Scientific Computations 14 (1): 185-217, 1993.

1992

• Demkowicz, L. and Bana's, K. and Kucwaj, J. and Rachowicz, W., "2D hp Adaptive Package", Section of Applied Mathematics Report 4/1992.

1991

• Demkowicz, L. and Karafiat, A. and Oden, J.T., "Solution of Elastic Scattering Problems in Linear Acoustics Using hp Boundary Element Method", Comput. Methods Appl. Mech. Engrg. 101: 251-282, 1991.


• Demkowicz, L. and Karafiat, A. and Oden, J. T. "On the Weak Form of Hypersingular Formulation for Scattering Problems in Linear Acoustics", TICOM Report 1/1991.


• Demkowicz, L. and Oden, J.T. and Rachowicz, W. and Hardy, O., "An hp Taylor-Galerkin Finite Element Method for Compressible Euler Equations", Comput. Methods Appl. Mech. Engrg. 88 (3): 363-396, 1991.


• Demkowicz, L. and Oden, J. T., "hp Adaptive Finite Element Methods in Computational Fluid Dynamics", Comput. Methods Appl. Mech. Engrg. 89: 11-40, 1991.


• Demkowicz, L. and Oden, J.T. and Ainsworth, M. and Geng, P., "Solution of Elastic Scattering Problems in Linear Acoustics Using hp Boundary Element Methods", Journal of Computational and Applied Mathematics 36: 29-63, 1991.


• Kuczma, M. S. and Demkowicz, L., "An Adaptive Algorithm for Unilateral Viscoelastic Contact Problems for Beams and Plates", Comput. Methods Appl. Mech. Engrg. 101: 183-192, 1991.


• Safjan, A. and Demkowicz, L. and Oden, J.T., "Adaptive Finite Element Methods for Hyperbolic Systems with Application to Transient Acoustics", Int. J. Num. Meth. Eng. 32: 677-707, 1991.


• Demkowicz, L., "A Note on Symmetry Boundary Conditions", Letters in Applied Mathematics 4 (5): 27-30, 1991.

1990

• Oden, J. T. and Demkowicz, L. and Rachowicz, W. and Westermann, T., "A Posteriori Error Analysis in Finite Elements: The Element Residual Method for Symmetrizable Problems with Applications to Compressible Euler and Navier-Stokes Equations", Comput. Methods Appl. Mech. Engrg. 82: 183-203, 1990.


• Demkowicz, L. and Oden, J.T. and Rachowicz, R., "A New Finite Element Method for Solving Compressible Navier-Stokes Equations Based on an Operator Splitting Method and hp Adaptivity", Comput. Methods Appl. Mech. Engrg. 84: 275-326, 1990.


• Oden, J.T. and Demkowicz, L. and Liszka, T. and Rachowicz, W., "hp Adaptive Finite Element Methods for Compressible and Incompressible Flows", Computing Systems in Engineering 1 (2-4): 523-534, 1990.


• Oden, J.T. and Demkowicz,L. and Bennighof, J., "Fluid-Structure Interaction in Underwater Acoustics", Applied Mechanics Reviews 43 (5): 374-380, 1990.

1989

• Demkowicz, L. and Oden, J.T. and Rachowicz, W., "Toward a Universal hp Adaptive Finite Element Strategy. Part 1: Constrained Approximation and Data Structure", Comput. Methods Appl. Mech. Engrg. 77: 79-112, 1989.


• Oden, J.T. and Demkowicz, L. and Rachowicz, R. and Westermann, T.A., "Toward a Universal hp Adaptive Finite Element Strategy. Part 2: A Posteriori Error Estimation", Comput. Methods Appl. Mech. Engrg. 77: 113-180, 1989.


• Rachowicz, W. and Oden, J.T. and Demkowicz, L., "Toward a Universal hp-Adaptive Finite Element Strategy. Part 3: Design of hp Meshes", Comput. Methods Appl. Mech. Engrg. 77: 181-212, 1989.

1987

• Szefer, G. and Mr'oz, Z. and Demkowicz, L. , "Variational Approach to Sensitivity Analysis in Nonlinear Elasticity", Archives of Mechanics 39 (3): 247-259, 1987.


• Demkowicz, L. and Rachowicz, W., "On a Characteristic Finite Element Method for Compressible Gas Dynamics", Journal of Engineering Science 25 (10): 1259-1281, 1987.

1986

• Demkowicz, L. and Oden, J. T., "On a Mesh Optimization Method Based on a Minimization of Interpolation Error", International Journal for Engineering Science 24 (1): 55-68, 1986.


• Demkowicz, L. and Oden, J. T., "An Adaptive Characteristic Petrov-Galerkin Finite Element Method for Convection-Dominated Linear and Nonlinear Parabolic Problems in One Space Variable", Journal of Computational Physics 68 (1): 188-273, 1986.


• Demkowicz, L. and Oden, J. T., "An Adaptive Characteristic Petrov-Galerkin Finite Element Method for Convection-Dominated Linear and Nonlinear Parabolic Problems in Two Space Variables", Comput. Methods Appl. Mech. Engrg. 55 (1-2): 65-87, 1986.


• Demkowicz, L., Adaptive Finite Element Methods, Cracow University of Technology Press, Monographia 46, 1986.

1985

• Demkowicz, L. and Oden, J.T. and Devloo, Ph., "On h-Type Mesh Refinement Strategy Based on a Minimization of Interpolation Error", Comput. Methods Appl. Mech. Engrg. 53: 67-89, 1985.


• Demkowicz, L. and Oden, J. T. , "Extraction Methods for Second Derivatives in Finite Element Approximations of Linear Elasticity Problems", Communications in Applied Numerical Methods 1: 137-139, 1985.

1984

• Szefer, G. and Demkowicz, L., "Optimal Design of von Karman Plates", Journal of Structural Mechanics 12 (1): 111-149, 1984.


• Demkowicz, L. and Karafiat, A. and Liszka T., "On Some Convergence Results for FDM with Irregular Mesh", Comput. Methods Appl. Mech. Engrg. 42: 339-349, 1984.


• Demkowicz, L., "Some Remarks on Moving Finite Element Methods", Comput. Methods Appl. Mech. Engrg. 46: 339-349, 1984.


• Demkowicz, L. and Oden, J. T. and Stroubolis, T., "Adaptive Finite Elements for Flow Problems with Moving Boundaries. Part 1: Variational Principles and a Posteriori Estimates", Comput. Methods Appl. Mech. Engrg. 46: 217-251, 1984.

1982

• Demkowicz, L., "On Some Results Concerning the Reciprocal Formulation for the Signorini's Problem", Comput. Math. Appl. 8 (1): 57-74, 1982.


• Demkowicz, L. and Oden, J. T. , "On Some Existence and Uniqueness Results in Contact Problems with Non-Local Friction", Journal of Nonlinear Analysis 6 (10): 1075-1093, 1982.

92

• Demkowicz, L. and Bajer, A. and Banas, K., "Geometrical Modeling Package", TICOM Report 92.

88

• Demkowicz, L. and Oden, J.T., "A Review of Local Mesh Refinement Techniques and Corresponding Data Structures in h-Type Adaptive Finite Element Methods", TICOM Report 2/88.

• Ihlenburg, F. and Demkowicz, L., "Analysis of a Finite-Infinite Element Method for Exterior Helmholtz Problems", ZAMM 78: 949-950, .