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Degrees
Experience
Research Interests
Awards and Honors
Recent Archival Journal Publications (since 2005)“Mixed Discontinuous Galerkin Methods for Darcy Flow,” (with F. Brezzi, L. D. Martini and A. Masud), SIAM Journal of Scientific Computing, Vol. 22, No. 1, pp. 119-145, 2005. “Conservation Properties for the Galerkin and Stabilized Forms of the Advection Diffusion and Incompressible Navier-Stokes Equations,” (with G. N. Wells), Computer Methods in Applied Mechanics and Engineering, Vol. 194, pp. 1141-1159, 2005. “Isogeometric Analysis: CAD, Finite Elements, NURBS, Exact Geometry and Mesh Refinement,” (with J.A. Cottrell and Y. Bazilevs), Computer Methods in Applied Mechanics and Engineering, Vol. 194, Nos. 39-41, pp. 4135-4195, 2005. “A Stabilized Mixed Discontinuous Galerkin Method for Darcy Flow,” (with A. Masud and J. Wan), Computer Methods in Applied Mechanics and Engineering, Vol. 195, Nos. 25-28, pp. 3347-3381, 2006. “A Multiscale Discontinuous Galerkin Method with the Computational Structure of the Continuous Galerkin Method,” (with G. Scovazzi, P. Bochev and A. Buffa), Computer Methods in Applied Mechanics and Engineering, Vol. 195, Nos. 19-22, pp. 2761-2787, 2006. “A Coupled Momentum Method for Modeling Blood Flow in Three-dimensional Deformable Arteries,” (with A. Figueroa, I. Vignon-Clementel, K.E. Jansen and C.A. Taylor), Computer Methods in Applied Mechanics and Engineering, Vol. 195, Nos. 41-43, pp. 5685-5706, 2006. “Isogeometric Analysis of Structural Vibrations," (with Y. Bazilevs, J.A. Cottrell and A. Reali), Computer Methods in Applied Mechanics and Engineering, Vol. 195, Nos. 41-43, pp. 5257-5296, 2006. “Isogeometric Fluid-structure Interaction Analysis with Applications to Arterial Blood Flow,” (with Y. Bazilevs, V.M. Calo and Y. Zhang), Computational Mechanics, Vol. 38, Nos. 4-5, pp. 310-322, September 2006. “Isogeometic analysis: approximation, stability and error estimates for h-refined meshes,” (with Y. Bazilevs, L. Beirao de Veiga, J.A. Cottrell, and G. Sangalli), Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 16, No. 7, pp. 1031-1090, July 2006. “Analysis of a Multiscale Discontinuous Galerkin Method for Convection Diffusion Problems,” (with A. Buffa and G. Sangalli), SIAM Journal of Numerical Analysis, Vol. 44, No. 4, pp. 1420-1440, 2006. “Weak Imposition of Dirichlet Boundary Conditions in Fluid Mechanics,” (with Y. Bazilevs), Journal of Computers and Fluids, Vol. 36, No. 1, pp. 12-26, 2007. “Variational Multiscale Analysis: the Fine-scale Green's Function, Projection, Optimization, Localization, and Stabilized Methods,” (with G. Sangalli), SIAM Journal of Numerical Analysis, Vol. 45, No. 2, pp. 539-557, 2007. “Stabilized shock hydrodynamics: I. A Lagragian method,” (with G. Scovazzi, M.A. Christon, and J.N. Shadid), Computer Methods in Applied Mechanics and Engineering, Vol. 196, Nos. 4-6, pp. 923-966, 2007. “Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow,” (with Y.Zhang, Y. Bazilevs, S. Goswami, and C.L. Bajaj), Computer Methods in Applied Mechanics and Engineering, Vol. 196, Nos. 29-30, pp. 2943-2959, 2007. “YZß discontinuity-capturing for advection-dominated processes in arterial drug delivery,” (with Y.Bazilevs, V.M. Calo, T.E. Tezduyar), International Journal for Numerical Methods in Fluids, 54, pp. 593-608, 2007. Studies of refinement and continuity in isogeometric structural analysis,” (with J.A. Cottrell and A. Reali), Computer Methods in Applied Mechanics and Engineering, Vol. 196, Nos. 41-44, pp. 4160-4183, 2007. “Weak Dirichlet boundary conditions for wall-bounded turbulent flows,” (with Y. Bazilevs, C. Michler, V.M. Calo), Computer Methods in Applied Mechanics and Engineering, Vol. 196, 4853-4862, 2007. “Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows,” (with Y. Bazilevs, V.M, Calo, J.A. Cottrell, A. Reali, and G. Scovazzi), Computer Methods in Applied Mechanics and Engineering, Vol. 197, 173-201, 2007. “The role of continuity in residual-based variational multiscale modeling of turbulence,” (with I. Akkerman, Y. Bazilevs, V.M. Calo, and S. Hulshoff), Computational Mechanics, Vol. 41, 371-378, 2008. “B-bar and F-bar Projection Methods for Nearly Incompressible Linear and Nonlinear Elasticity and Plasticity using Higher-order NURBS Elements,” (with T. Elguedj, Y. Bazilevs, and V. Calo), Computer Methods in Applied Mechanics and Engineering, Vol. 197, 2732-2762, 2008. “Isogeometric Analysis of the Cahn-Hilliard phase-field model,” (with H. Gomez, V.M. Calo and Y. Bazilevs), Computer Methods in Applied Mechanics and Engineering, Vol. 197, 4333-4352, 2008. “Isogeometric Analysis using T-Splines,” (with Y. Bazilevs, V.M. Calo, J.A. Cottrell, J. Evans, S. Lipton, M.A. Scott, and T.W. Sederberg), Computer Methods in Applied Mechanics and Engineering, to appear, 2009. “Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device”, (with Y. Bazilevs, J.R. Gohean, R.D. Moser, and Y. Zhang), Computer Methods in Applied Mechanics and Engineering, to appear, 2009. “N-widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method”, (with J.A. Evans, Y. Bazilevs, I. Babuska), Computer Methods in Applied Mechanics and Engineering, Vol. 198, 1726-1741, 2009. “Improving stability of multiscale formulations of fluid flow at small time steps”, (with M.C. Hsu, Y. Bazilevs, V.M. Calo, T.E. Tezduyar), Computer Methods in Applied Mechanics and Engineering, in review 2008. “Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly-enforced boundary conditions on unstretched meshes”, (Y. Bazilevs, C. Michler, and V.M. Calo), Computer Methods in Applied Mechanics and Engineering, to appear, 2009. “NURBS-based Isogeometric Analysis for the Computation of Flows about Rotating Components,” (with Y. Bazilevs), Computational Mechanics, Vol. 43, 143-150, December, 2008. “A multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow,” (with V.M. Calo, N. Brasher, and Y. Bazilevs), Computational Mechanics, Vol. 43, 161-177, December, 2008. “Isogeometric fluid-structure interaction: Theory, algorithms and computations,” (with Y. Bazilevs, V.M. Calo, and Y. Zhang), Computational Mechanics, Vol. 43, 3-37, December, 2008. “Duality and Unified Analysis of Discrete Approximations in Structural Dynamics and Wave Propagation: Comparison of p-method Finite Elements with k-method NURBS,” (with A. Reali and G. Sangalli), Computer Methods in Applied Mechanics and Engineering, Vol. 197, 4104-4124, 2008. “Stabilized methods for compressible flows,” (with G. Scovazzi and T.E. Tezduyar), Journal of Scientific Computing, to appear, 2009. “Augmented Lagrangian Method for Constraining the Shape of Velocity Profiles at Outlet Boundaries for Three-Dimensional Finite Element Simulations of Blood Flow,” (with H.J. Kim, C.A. Figueroa, K.E. Jansen, and C.A. Taylor), Computer Methods in Applied Mechanics and Engineering, to appear, 2009. “Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly-enforced boundary conditions on unstretched meshes”, (with Y. Bazilevs, C. Michler and V.M. Calo), Computer Methods in Applied Mechanics and Engineering, to appear, 2009. “Efficient Quadrature for NURBS-based Isogeometric Analysis,” (with A. Reali and G. Sangalli), Computer Methods in Applied Mechanics and Engineering, to appear, 2009.
Latest ICES Research ReportsCitations
Most recent update: July 2, 2009.
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