@Article{CiCP-6-342,
author = {Chao Jin and Xiao-Chuan Cai},
title = {A Preconditioned Recycling GMRES Solver for Stochastic Helmholtz Problems},
journal = {Communications in Computational Physics},
year = {2009},
volume = {6},
number = {2},
pages = {342--353},
abstract = {<p style="text-align: justify;">We present a parallel Schwarz type domain decomposition preconditioned
recycling Krylov subspace method for the numerical solution of stochastic indefinite
elliptic equations with two random coefficients. Karhunen-Loève expansions are used
to represent the stochastic variables and the stochastic Galerkin method with double
orthogonal polynomials is used to derive a sequence of uncoupled deterministic
equations. We show numerically that the Schwarz preconditioned recycling GMRES
method is an effective technique for solving the entire family of linear systems and, in
particular, the use of recycled Krylov subspaces is the key element of this successful
approach.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7683.html}
}