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Howard C. Elman
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- affiliation: University of Maryland, College Park, USA
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2020 – today
- 2024
- [j50]Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
:
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. Comput. Phys. Commun. 298: 109099 (2024) - 2023
- [j49]Harbir Antil
, Howard C. Elman, Akwum Onwunta
, Deepanshu Verma:
A deep neural network approach for parameterized PDEs and Bayesian inverse problems. Mach. Learn. Sci. Technol. 4(3): 35015 (2023) - [i9]Kayla D. Davie, Howard C. Elman:
An Assessment of the Supremizer and Aggregation Methods of Stabilization for Reduced-Order Models. CoRR abs/2303.06101 (2023) - [i8]Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet:
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. CoRR abs/2306.13249 (2023) - 2022
- [j48]Howard C. Elman, Jiaxing Liang
, Tonatiuh Sánchez-Vizuet
:
Surrogate approximation of the Grad-Shafranov free boundary problem via stochastic collocation on sparse grids. J. Comput. Phys. 448: 110699 (2022) - 2021
- [i7]Harbir Antil
, Howard C. Elman, Akwum Onwunta, Deepanshu Verma:
Novel Deep neural networks for solving Bayesian statistical inverse. CoRR abs/2102.03974 (2021) - [i6]Bedrich Sousedík, Howard C. Elman, Kookjin Lee, Randy Price:
On Surrogate Learning for Linear Stability Assessment of Navier-Stokes Equations with Stochastic Viscosity. CoRR abs/2103.00622 (2021) - [i5]Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet:
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids. CoRR abs/2105.12217 (2021) - 2020
- [j47]Quan M. Bui
, Howard C. Elman:
Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media. J. Comput. Phys. 407: 109163 (2020) - [i4]Kookjin Lee, Howard C. Elman, Catherine E. Powell, Dongeun Lee:
Alternating Energy Minimization Methods for Multi-term Matrix Equations. CoRR abs/2006.08531 (2020)
2010 – 2019
- 2019
- [j46]Kookjin Lee, Howard C. Elman
, Bedrich Sousedík
:
A Low-Rank Solver for the Navier-Stokes Equations with Uncertain Viscosity. SIAM/ASA J. Uncertain. Quantification 7(4): 1275-1300 (2019) - [j45]Howard C. Elman
, Tengfei Su:
Low-Rank Solution Methods for Stochastic Eigenvalue Problems. SIAM J. Sci. Comput. 41(4): A2657-A2680 (2019) - [i3]Howard C. Elman, Tengfei Su:
A Low-rank Solver for the Stochastic Unsteady Navier-Stokes Problem. CoRR abs/1906.06785 (2019) - [i2]Howard C. Elman, Akwum Onwunta:
Reduced-order modeling for nonlinear Bayesian statistical inverse problems. CoRR abs/1909.02539 (2019) - 2018
- [j44]Kookjin Lee, Kevin Carlberg, Howard C. Elman:
Stochastic Least-Squares Petrov-Galerkin Method for Parameterized Linear Systems. SIAM/ASA J. Uncertain. Quantification 6(1): 374-396 (2018) - [j43]Howard C. Elman, Tengfei Su:
A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem. SIAM J. Matrix Anal. Appl. 39(1): 492-509 (2018) - [j42]Howard C. Elman
, David J. Silvester
:
Collocation Methods for Exploring Perturbations in Linear Stability Analysis. SIAM J. Sci. Comput. 40(4): A2667-A2693 (2018) - 2017
- [j41]Quan M. Bui
, Howard C. Elman, J. David Moulton:
Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media. SIAM J. Sci. Comput. 39(5) (2017) - [j40]Kookjin Lee, Howard C. Elman:
A Preconditioned Low-Rank Projection Method with a Rank-Reduction Scheme for Stochastic Partial Differential Equations. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j39]Bedrich Sousedík
, Howard C. Elman:
Stochastic Galerkin methods for the steady-state Navier-Stokes equations. J. Comput. Phys. 316: 435-452 (2016) - [j38]Bedrich Sousedík, Howard C. Elman:
Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods. SIAM/ASA J. Uncertain. Quantification 4(1): 163-189 (2016) - [j37]Edward G. Phillips, John N. Shadid, Eric C. Cyr
, Howard C. Elman, Roger P. Pawlowski:
Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD. SIAM J. Sci. Comput. 38(6) (2016) - [i1]Quan M. Bui, Howard C. Elman, J. David Moulton:
Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media. CoRR abs/1611.00127 (2016) - 2015
- [j36]Edward G. Phillips, Howard C. Elman:
A stochastic approach to uncertainty in the equations of MHD kinematics. J. Comput. Phys. 284: 334-350 (2015) - [j35]Howard C. Elman, Virginia Forstall:
Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j34]Howard C. Elman, Alison Ramage, David J. Silvester
:
IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems. SIAM Rev. 56(2): 261-273 (2014) - [j33]Edward G. Phillips, Howard C. Elman, Eric C. Cyr
, John N. Shadid, Roger P. Pawlowski:
A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j32]Howard C. Elman, Qifeng Liao:
Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients. SIAM/ASA J. Uncertain. Quantification 1(1): 192-217 (2013) - [j31]Howard C. Elman, Minghao Wu:
Lyapunov Inverse Iteration for Computing a Few Rightmost Eigenvalues of Large Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 34(4): 1685-1707 (2013) - 2012
- [j30]Fei Xue, Howard C. Elman:
Fast Inexact Implicitly Restarted Arnoldi Method for Generalized Eigenvalue Problems with Spectral Transformation. SIAM J. Matrix Anal. Appl. 33(2): 433-459 (2012) - [j29]Elisabeth Ullmann
, Howard C. Elman, Oliver G. Ernst
:
Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems. SIAM J. Sci. Comput. 34(2) (2012) - [j28]Howard C. Elman, Karl Meerbergen
, Alastair Spence, Minghao Wu:
Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow. SIAM J. Sci. Comput. 34(3) (2012) - 2011
- [j27]Howard C. Elman, Milan D. Mihajlovic, David J. Silvester
:
Fast iterative solvers for buoyancy driven flow problems. J. Comput. Phys. 230(10): 3900-3914 (2011) - [j26]Ray Tuminaro, Michele Benzi, Xiao-Chuan Cai, Iain Duff, Howard C. Elman, Roland Freund, Kirk E. Jordan, Tim Kelley, David E. Keyes, Misha Elena Kilmer, Sven Leyffer, Tom Manteuffel, Steve F. McCormick, David J. Silvester, Homer F. Walker:
Special Section: 2010 Copper Mountain Conference. SIAM J. Sci. Comput. 33(5): 2685 (2011) - 2010
- [j25]Howard C. Elman, Darran G. Furnival, Catherine E. Powell:
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Math. Comput. 79(270): 733-760 (2010)
2000 – 2009
- 2009
- [j24]Fei Xue, Howard C. Elman:
Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration. SIAM J. Matrix Anal. Appl. 31(3): 877-899 (2009) - 2008
- [j23]Howard C. Elman, Victoria E. Howle, John N. Shadid, Robert Shuttleworth, Ray Tuminaro:
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. J. Comput. Phys. 227(3): 1790-1808 (2008) - 2007
- [j22]Howard C. Elman, Victoria E. Howle, John N. Shadid, David J. Silvester
, Ray S. Tuminaro:
Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations. SIAM J. Sci. Comput. 30(1): 290-311 (2007) - [j21]Howard C. Elman, Alison Ramage, David J. Silvester
:
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Trans. Math. Softw. 33(2): 14 (2007) - 2006
- [j20]Howard C. Elman, Victoria E. Howle, John N. Shadid, Robert Shuttleworth, Ray S. Tuminaro:
Block Preconditioners Based on Approximate Commutators. SIAM J. Sci. Comput. 27(5): 1651-1668 (2006) - [j19]Chin-Tien Wu, Howard C. Elman:
Analysis and Comparison of Geometric and Algebraic Multigrid for Convection-Diffusion Equations. SIAM J. Sci. Comput. 28(6): 2208-2228 (2006) - 2005
- [j18]Howard C. Elman:
Preconditioning Strategies for Models of Incompressible Flow. J. Sci. Comput. 25(1-2): 347-366 (2005) - 2003
- [j17]Howard C. Elman, Alison Ramage:
A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Math. Comput. 72(241): 263-288 (2003) - 2002
- [j16]Howard C. Elman, David J. Silvester
, Andrew J. Wathen:
Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Numerische Mathematik 90(4): 665-688 (2002) - [j15]Howard C. Elman, Alison Ramage:
An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation. SIAM J. Numer. Anal. 40(1): 254-281 (2002) - 2001
- [j14]Howard C. Elman, Oliver G. Ernst
, Dianne P. O'Leary:
A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations. SIAM J. Sci. Comput. 23(4): 1291-1315 (2001) - 2000
- [j13]Howard C. Elman:
Special Issue on Iterative Methods for Solving Systems of Algebraic Equations. SIAM J. Sci. Comput. 21(5) (2000)
1990 – 1999
- 1999
- [j12]Howard C. Elman, Dianne P. O'Leary:
Eigenanalysis of some preconditioned Helmholtz problems. Numerische Mathematik 83(2): 231-257 (1999) - [j11]Howard C. Elman:
Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity. SIAM J. Sci. Comput. 20(4): 1299-1316 (1999) - 1998
- [j10]Howard C. Elman:
Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations. SIAM J. Sci. Comput. 19(1): vii (1998) - 1997
- [j9]Howard C. Elman:
Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators. SIAM J. Matrix Anal. Appl. 18(3): 733-751 (1997) - 1996
- [j8]Howard C. Elman, David J. Silvester
:
Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations. SIAM J. Sci. Comput. 17(1): 33-46 (1996) - 1995
- [j7]Howard C. Elman, Dennis K.-Y. Lee:
Use of Linear Algebra Kernels to Build an Efficient Finite Element Solver. Parallel Comput. 21(1): 161-173 (1995) - [j6]Howard C. Elman, Xuejun Zhang:
Algebraic Analysis of the Hierarchical Basis Preconditioner. SIAM J. Matrix Anal. Appl. 16(1): 192-206 (1995) - 1993
- [j5]Howard C. Elman, Xian-Zhong Guo:
Performance Enhancements and Parallel Algorithms for Two Multilevel Preconditioners. SIAM J. Sci. Comput. 14(4): 890-913 (1993) - 1992
- [j4]G. Zhang, Howard C. Elman:
Parallel sparse Cholesky factorization on a shared memory multiprocessor. Parallel Comput. 18(9): 1009-1022 (1992) - [j3]Howard C. Elman, Gene H. Golub:
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems. SIAM J. Sci. Comput. 13(1): 339-363 (1992) - [j2]Ivo Babuska, Howard C. Elman, K. Markley:
Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture. SIAM J. Sci. Comput. 13(6): 1433-1459 (1992)
1980 – 1989
- 1989
- [j1]Tony F. Chan
, Howard C. Elman:
Fourier Analysis of Iterative Methods for Elliptic pr. SIAM Rev. 31(1): 20-49 (1989)
Coauthor Index
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