27 citations · 123 across the 18 of their papers we have counts for
4 papers · 1 filter
A Low-Rank Multigrid Method for the Stochastic Steady-State Diffusion Problem
Howard C. Elman, Tengfei Su
We study a multigrid method for solving large linear systems of equations with tensor product structure. Such systems are obtained from stochastic finite element discretization of…
Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media
Quan M. Bui, Howard C. Elman, J. D. Moulton
Multiphase flow is a critical process in a wide range of applications, including carbon sequestration, contaminant remediation, and groundwater management. Typically, this process…
Numerical Solution of the Steady-State Navier-Stokes Equations using Empirical Interpolation Methods
Howard C. Elman, Virginia Forstall
Reduced-order modeling is an efficient approach for solving parameterized discrete partial differential equations when the solution is needed at many parameter values. An offline s…
A Preconditioned Low-Rank Projection Method with a Rank-Reduction Scheme for Stochastic Partial Differential Equations
Kookjin Lee, Howard C. Elman
In this study, we consider the numerical solution of large systems of linear equations obtained from the stochastic Galerkin formulation of stochastic partial differential equation…