Howard C. Elman

Orcid: 0000-0002-8886-9901

Affiliations:
  • University of Maryland, College Park, USA


According to our database1, Howard C. Elman authored at least 56 papers between 1989 and 2023.

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Bibliography

2023
A deep neural network approach for parameterized PDEs and Bayesian inverse problems.
Mach. Learn. Sci. Technol., September, 2023

Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem.
CoRR, 2023

An Assessment of the Supremizer and Aggregation Methods of Stabilization for Reduced-Order Models.
CoRR, 2023

2022
Surrogate approximation of the Grad-Shafranov free boundary problem via stochastic collocation on sparse grids.
J. Comput. Phys., 2022

2021
On Surrogate Learning for Linear Stability Assessment of Navier-Stokes Equations with Stochastic Viscosity.
CoRR, 2021

Novel Deep neural networks for solving Bayesian statistical inverse.
CoRR, 2021

2020
Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media.
J. Comput. Phys., 2020

Alternating Energy Minimization Methods for Multi-term Matrix Equations.
CoRR, 2020

2019
Low-Rank Solution Methods for Stochastic Eigenvalue Problems.
SIAM J. Sci. Comput., 2019

A Low-Rank Solver for the Navier-Stokes Equations with Uncertain Viscosity.
SIAM/ASA J. Uncertain. Quantification, 2019

Reduced-order modeling for nonlinear Bayesian statistical inverse problems.
CoRR, 2019

A Low-rank Solver for the Stochastic Unsteady Navier-Stokes Problem.
CoRR, 2019

2018
Collocation Methods for Exploring Perturbations in Linear Stability Analysis.
SIAM J. Sci. Comput., 2018

A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem.
SIAM J. Matrix Anal. Appl., 2018

Stochastic Least-Squares Petrov-Galerkin Method for Parameterized Linear Systems.
SIAM/ASA J. Uncertain. Quantification, 2018

2017
A Preconditioned Low-Rank Projection Method with a Rank-Reduction Scheme for Stochastic Partial Differential Equations.
SIAM J. Sci. Comput., 2017

Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media.
SIAM J. Sci. Comput., 2017

2016
Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD.
SIAM J. Sci. Comput., 2016

Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods.
SIAM/ASA J. Uncertain. Quantification, 2016

Stochastic Galerkin methods for the steady-state Navier-Stokes equations.
J. Comput. Phys., 2016

2015
Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations.
SIAM J. Sci. Comput., 2015

A stochastic approach to uncertainty in the equations of MHD kinematics.
J. Comput. Phys., 2015

2014
A Block Preconditioner for an Exact Penalty Formulation for Stationary MHD.
SIAM J. Sci. Comput., 2014

IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems.
SIAM Rev., 2014

2013
Lyapunov Inverse Iteration for Computing a Few Rightmost Eigenvalues of Large Generalized Eigenvalue Problems.
SIAM J. Matrix Anal. Appl., 2013

Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients.
SIAM/ASA J. Uncertain. Quantification, 2013

2012
Efficient Iterative Solvers for Stochastic Galerkin Discretizations of Log-Transformed Random Diffusion Problems.
SIAM J. Sci. Comput., 2012

Lyapunov Inverse Iteration for Identifying Hopf Bifurcations in Models of Incompressible Flow.
SIAM J. Sci. Comput., 2012

Fast Inexact Implicitly Restarted Arnoldi Method for Generalized Eigenvalue Problems with Spectral Transformation.
SIAM J. Matrix Anal. Appl., 2012

2011
Special Section: 2010 Copper Mountain Conference.
SIAM J. Sci. Comput., 2011

Fast iterative solvers for buoyancy driven flow problems.
J. Comput. Phys., 2011

2010
H(<i>div</i>) preconditioning for a mixed finite element formulation of the diffusion problem with random data.
Math. Comput., 2010

2009
Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration.
SIAM J. Matrix Anal. Appl., 2009

2008
A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations.
J. Comput. Phys., 2008

2007
Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow.
ACM Trans. Math. Softw., 2007

Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations.
SIAM J. Sci. Comput., 2007

2006
Analysis and Comparison of Geometric and Algebraic Multigrid for Convection-Diffusion Equations.
SIAM J. Sci. Comput., 2006

Block Preconditioners Based on Approximate Commutators.
SIAM J. Sci. Comput., 2006

2005
Preconditioning Strategies for Models of Incompressible Flow.
J. Sci. Comput., 2005

2003
A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation.
Math. Comput., 2003

2002
An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation.
SIAM J. Numer. Anal., 2002

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations.
Numerische Mathematik, 2002

2001
A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations.
SIAM J. Sci. Comput., 2001

2000
Special Issue on Iterative Methods for Solving Systems of Algebraic Equations.
SIAM J. Sci. Comput., 2000

1999
Preconditioning for the Steady-State Navier-Stokes Equations with Low Viscosity.
SIAM J. Sci. Comput., 1999

Eigenanalysis of some preconditioned Helmholtz problems.
Numerische Mathematik, 1999

1998
Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations.
SIAM J. Sci. Comput., 1998

1997
Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators.
SIAM J. Matrix Anal. Appl., July, 1997

1996
Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations.
SIAM J. Sci. Comput., 1996

1995
Algebraic Analysis of the Hierarchical Basis Preconditioner.
SIAM J. Matrix Anal. Appl., 1995

Use of Linear Algebra Kernels to Build an Efficient Finite Element Solver.
Parallel Comput., 1995

1993
Performance Enhancements and Parallel Algorithms for Two Multilevel Preconditioners.
SIAM J. Sci. Comput., 1993

1992
Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems.
SIAM J. Sci. Comput., 1992

Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture.
SIAM J. Sci. Comput., 1992

Parallel sparse Cholesky factorization on a shared memory multiprocessor.
Parallel Comput., 1992

1989
Fourier Analysis of Iterative Methods for Elliptic pr.
SIAM Rev., 1989


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