Howard C. Elman

Publication Activity (10 Years)

Years Active: 1989-2024
Publications (10 Years): 23

Top Topics

Monte Carlo Methods

Finite Element Methods

Energy Minimization

Inverse Problems

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

SIAM/ASA J. Uncertain. Quantification

Publications

Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. Comput. Phys. Commun. 298 (2024)
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) (2023)
Kayla D. Davie, Howard C. Elman
An Assessment of the Supremizer and Aggregation Methods of Stabilization for Reduced-Order Models. CoRR (2023)
Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. CoRR (2023)
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 (2022)
Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma
Novel Deep neural networks for solving Bayesian statistical inverse. CoRR (2021)
Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids. CoRR (2021)
Bedrich Sousedík, Howard C. Elman, Kookjin Lee, Randy Price
On Surrogate Learning for Linear Stability Assessment of Navier-Stokes Equations with Stochastic Viscosity. CoRR (2021)
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 (2020)
Kookjin Lee, Howard C. Elman, Catherine E. Powell, Dongeun Lee
Alternating Energy Minimization Methods for Multi-term Matrix Equations. CoRR (2020)
Howard C. Elman, Tengfei Su
Low-Rank Solution Methods for Stochastic Eigenvalue Problems. SIAM J. Sci. Comput. 41 (4) (2019)
Howard C. Elman, Akwum Onwunta
Reduced-order modeling for nonlinear Bayesian statistical inverse problems. CoRR (2019)
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) (2019)
Howard C. Elman, Tengfei Su
A Low-rank Solver for the Stochastic Unsteady Navier-Stokes Problem. CoRR (2019)
Howard C. Elman, Tengfei Su
A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem. SIAM J. Matrix Anal. Appl. 39 (1) (2018)
Howard C. Elman, David J. Silvester
Collocation Methods for Exploring Perturbations in Linear Stability Analysis. SIAM J. Sci. Comput. 40 (4) (2018)
Kookjin Lee, Kevin Carlberg, Howard C. Elman
Stochastic Least-Squares Petrov-Galerkin Method for Parameterized Linear Systems. SIAM/ASA J. Uncertain. Quantification 6 (1) (2018)
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)
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)
Bedrich Sousedík, Howard C. Elman
Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods. SIAM/ASA J. Uncertain. Quantification 4 (1) (2016)
Bedrich Sousedík, Howard C. Elman
Stochastic Galerkin methods for the steady-state Navier-Stokes equations. J. Comput. Phys. 316 (2016)
Quan M. Bui, Howard C. Elman, J. David Moulton
Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media. CoRR (2016)
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)
Edward G. Phillips, Howard C. Elman
A stochastic approach to uncertainty in the equations of MHD kinematics. J. Comput. Phys. 284 (2015)
Howard C. Elman, Virginia Forstall
Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations. SIAM J. Sci. Comput. 37 (5) (2015)
Howard C. Elman, Alison Ramage, David J. Silvester
IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems. SIAM Rev. 56 (2) (2014)
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)
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) (2013)
Howard C. Elman, Qifeng Liao
Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
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)
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)
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) (2012)
Howard C. Elman, Milan D. Mihajlovic, David J. Silvester
Fast iterative solvers for buoyancy driven flow problems. J. Comput. Phys. 230 (10) (2011)
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) (2011)
Howard C. Elman, Darran G. Furnival, Catherine E. Powell
) preconditioning for a mixed finite element formulation of the diffusion problem with random data. Math. Comput. 79 (270) (2010)
Fei Xue, Howard C. Elman
Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
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) (2008)
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) (2007)
Howard C. Elman, Alison Ramage, David J. Silvester
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Trans. Math. Softw. 33 (2) (2007)
Chin-Tien Wu, Howard C. Elman
Analysis and Comparison of Geometric and Algebraic Multigrid for Convection-Diffusion Equations. SIAM J. Sci. Comput. 28 (6) (2006)
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) (2006)
Howard C. Elman
Preconditioning Strategies for Models of Incompressible Flow. J. Sci. Comput. 25 (1-2) (2005)
Howard C. Elman, Alison Ramage
A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. Math. Comput. 72 (241) (2003)
Howard C. Elman, Alison Ramage
An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation. SIAM J. Numer. Anal. 40 (1) (2002)
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) (2002)
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) (2001)
Howard C. Elman
Special Issue on Iterative Methods for Solving Systems of Algebraic Equations. SIAM J. Sci. Comput. 21 (5) (2000)
Howard C. Elman, Dianne P. O'Leary
Eigenanalysis of some preconditioned Helmholtz problems. Numerische Mathematik 83 (2) (1999)
Howard C. Elman
Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity. SIAM J. Sci. Comput. 20 (4) (1999)
Howard C. Elman
Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations. SIAM J. Sci. Comput. 19 (1) (1998)
Howard C. Elman
Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators. SIAM J. Matrix Anal. Appl. 18 (3) (1997)
Howard C. Elman, David J. Silvester
Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations. SIAM J. Sci. Comput. 17 (1) (1996)
Howard C. Elman, Xuejun Zhang
Algebraic Analysis of the Hierarchical Basis Preconditioner. SIAM J. Matrix Anal. Appl. 16 (1) (1995)
Howard C. Elman, Dennis K.-Y. Lee
Use of Linear Algebra Kernels to Build an Efficient Finite Element Solver. Parallel Comput. 21 (1) (1995)
Howard C. Elman, Xian-Zhong Guo
Performance Enhancements and Parallel Algorithms for Two Multilevel Preconditioners. SIAM J. Sci. Comput. 14 (4) (1993)
G. Zhang, Howard C. Elman
Parallel sparse Cholesky factorization on a shared memory multiprocessor. Parallel Comput. 18 (9) (1992)
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) (1992)
Howard C. Elman, Gene H. Golub
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems. SIAM J. Sci. Comput. 13 (1) (1992)
Tony F. Chan, Howard C. Elman
Fourier Analysis of Iterative Methods for Elliptic pr. SIAM Rev. 31 (1) (1989)