Fourier Analysis of Iterative Methods for Elliptic pr. - Tony F. Chan; Howard C. Elman (SIAM Rev., 1989)

Parallel sparse Cholesky factorization on a shared memory multiprocessor. - G. Zhang; Howard C. Elman (Parallel Comput., 1992)

Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture. - Ivo Babuska; Howard C. Elman; K. Markley (SIAM J. Sci. Comput., 1992)

Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems. - Howard C. Elman; Gene H. Golub (SIAM J. Sci. Comput., 1992)

Performance Enhancements and Parallel Algorithms for Two Multilevel Preconditioners. - Howard C. Elman; Xian-Zhong Guo (SIAM J. Sci. Comput., 1993)

Use of Linear Algebra Kernels to Build an Efficient Finite Element Solver. - Howard C. Elman; Dennis K.-Y. Lee (Parallel Comput., 1995)

Algebraic Analysis of the Hierarchical Basis Preconditioner. - Howard C. Elman; Xuejun Zhang (SIAM J. Matrix Anal. Appl., 1995)

Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations. - Howard C. Elman; David J. Silvester (SIAM J. Sci. Comput., 1996)

Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators. - Howard C. Elman (SIAM J. Matrix Anal. Appl., 1997)

Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations. - Howard C. Elman (SIAM J. Sci. Comput., 1998)

Eigenanalysis of some preconditioned Helmholtz problems. - Howard C. Elman; Dianne P. O'Leary (Numerische Mathematik, 1999)

Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity. - Howard C. Elman (SIAM J. Sci. Comput., 1999)

Special Issue on Iterative Methods for Solving Systems of Algebraic Equations. - Howard C. Elman (SIAM J. Sci. Comput., 2000)

A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations. - Howard C. Elman; Oliver G. Ernst; Dianne P. O'Leary (SIAM J. Sci. Comput., 2001)

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. - Howard C. Elman; David J. Silvester; Andrew J. Wathen (Numerische Mathematik, 2002)

An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation. - Howard C. Elman; Alison Ramage (SIAM J. Numer. Anal., 2002)

A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. - Howard C. Elman; Alison Ramage (Math. Comput., 2003)

Preconditioning Strategies for Models of Incompressible Flow. - Howard C. Elman (J. Sci. Comput., 2005)

Block Preconditioners Based on Approximate Commutators. - Howard C. Elman; Victoria E. Howle; John N. Shadid; Robert Shuttleworth; Ray S. Tuminaro (SIAM J. Sci. Comput., 2006)

Analysis and Comparison of Geometric and Algebraic Multigrid for Convection-Diffusion Equations. - Chin-Tien Wu; Howard C. Elman (SIAM J. Sci. Comput., 2006)

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; David J. Silvester; Ray S. Tuminaro (SIAM J. Sci. Comput., 2007)

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. - Howard C. Elman; Alison Ramage; David J. Silvester (ACM Trans. Math. Softw., 2007)

A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. - Howard C. Elman; Victoria E. Howle; John N. Shadid; Robert Shuttleworth; Ray Tuminaro (J. Comput. Phys., 2008)

Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration. - Fei Xue; Howard C. Elman (SIAM J. Matrix Anal. Appl., 2009)

H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data. - Howard C. Elman; Darran G. Furnival; Catherine E. Powell (Math. Comput., 2010)

Fast iterative solvers for buoyancy driven flow problems. - Howard C. Elman; Milan D. Mihajlovic; David J. Silvester (J. Comput. Phys., 2011)

Special Section: 2010 Copper Mountain Conference. - 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; et al. (SIAM J. Sci. Comput., 2011)

Fast Inexact Implicitly Restarted Arnoldi Method for Generalized Eigenvalue Problems with Spectral Transformation. - Fei Xue; Howard C. Elman (SIAM J. Matrix Anal. Appl., 2012)

Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow. - Howard C. Elman; Karl Meerbergen; Alastair Spence; Minghao Wu (SIAM J. Sci. Comput., 2012)

Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems. - Elisabeth Ullmann; Howard C. Elman; Oliver G. Ernst (SIAM J. Sci. Comput., 2012)

Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients. - Howard C. Elman; Qifeng Liao (SIAM/ASA J. Uncertain. Quantification, 2013)

Lyapunov Inverse Iteration for Computing a Few Rightmost Eigenvalues of Large Generalized Eigenvalue Problems. - Howard C. Elman; Minghao Wu (SIAM J. Matrix Anal. Appl., 2013)

IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems. - Howard C. Elman; Alison Ramage; David J. Silvester (SIAM Rev., 2014)

A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD. - Edward G. Phillips; Howard C. Elman; Eric C. Cyr; John N. Shadid; Roger P. Pawlowski (SIAM J. Sci. Comput., 2014)

A stochastic approach to uncertainty in the equations of MHD kinematics. - Edward G. Phillips; Howard C. Elman (J. Comput. Phys., 2015)

Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations. - Howard C. Elman; Virginia Forstall (SIAM J. Sci. Comput., 2015)

Stochastic Galerkin methods for the steady-state Navier-Stokes equations. - Bedrich Sousedík; Howard C. Elman (J. Comput. Phys., 2016)

Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods. - Bedrich Sousedík; Howard C. Elman (SIAM/ASA J. Uncertain. Quantification, 2016)

Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD. - Edward G. Phillips; John N. Shadid; Eric C. Cyr; Howard C. Elman; Roger P. Pawlowski (SIAM J. Sci. Comput., 2016)

Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media. - Quan M. Bui; Howard C. Elman; J. David Moulton (SIAM J. Sci. Comput., 2017)

A Preconditioned Low-Rank Projection Method with a Rank-Reduction Scheme for Stochastic Partial Differential Equations. - Kookjin Lee; Howard C. Elman (SIAM J. Sci. Comput., 2017)

Stochastic Least-Squares Petrov-Galerkin Method for Parameterized Linear Systems. - Kookjin Lee; Kevin Carlberg; Howard C. Elman (SIAM/ASA J. Uncertain. Quantification, 2018)

A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem. - Howard C. Elman; Tengfei Su (SIAM J. Matrix Anal. Appl., 2018)

Collocation Methods for Exploring Perturbations in Linear Stability Analysis. - Howard C. Elman; David J. Silvester (SIAM J. Sci. Comput., 2018)

A Low-rank Solver for the Stochastic Unsteady Navier-Stokes Problem. - Howard C. Elman; Tengfei Su (CoRR, 2019)

Reduced-order modeling for nonlinear Bayesian statistical inverse problems. - Howard C. Elman; Akwum Onwunta (CoRR, 2019)

A Low-Rank Solver for the Navier-Stokes Equations with Uncertain Viscosity. - Kookjin Lee; Howard C. Elman; Bedrich Sousedík (SIAM/ASA J. Uncertain. Quantification, 2019)

Low-Rank Solution Methods for Stochastic Eigenvalue Problems. - Howard C. Elman; Tengfei Su (SIAM J. Sci. Comput., 2019)

Alternating Energy Minimization Methods for Multi-term Matrix Equations. - Kookjin Lee; Howard C. Elman; Catherine E. Powell; Dongeun Lee 001 (CoRR, 2020)

Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media. - Quan M. Bui; Howard C. Elman (J. Comput. Phys., 2020)

Novel Deep neural networks for solving Bayesian statistical inverse. - Harbir Antil; Howard C. Elman; Akwum Onwunta; Deepanshu Verma (CoRR, 2021)

On Surrogate Learning for Linear Stability Assessment of Navier-Stokes Equations with Stochastic Viscosity. - Bedrich Sousedík; Howard C. Elman; Kookjin Lee; Randy Price (CoRR, 2021)

Surrogate approximation of the Grad-Shafranov free boundary problem via stochastic collocation on sparse grids. - Howard C. Elman; Jiaxing Liang; Tonatiuh Sánchez-Vizuet (J. Comput. Phys., 2022)

An Assessment of the Supremizer and Aggregation Methods of Stabilization for Reduced-Order Models. - Kayla D. Davie; Howard C. Elman (CoRR, 2023)

A deep neural network approach for parameterized PDEs and Bayesian inverse problems. - Harbir Antil; Howard C. Elman; Akwum Onwunta; Deepanshu Verma (Mach. Learn. Sci. Technol., 2023)

Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. - Howard C. Elman; Jiaxing Liang; Tonatiuh Sánchez-Vizuet (Comput. Phys. Commun., 2024)

Surrogate-based multilevel Monte Carlo methods for uncertainty quantification in the Grad-Shafranov free boundary problem. - Howard C. Elman; Jiaxing Liang; Tonatiuh Sánchez-Vizuet (CoRR, 2025)