A preconditioned iterative method for indefinite linear systems corresponding to certain saddlepoint problems is suggested. The block structure of the systems is utilized in order to design effective preconditioners, while the governing iterative solver is a standard minimum residual method. The method is applied to systems derived from discretizations of the Stokes problem and mixed formulations of second-order elliptic problems.
%0 Journal Article
%1 citeulike:7603639
%A Rusten, Torgeir
%A Winther, Ragnar
%C Philadelphia
%D 1992
%I Society for Industrial and Applied Mathematics
%J SIAM Journal on Matrix Analysis and Applications
%K 76d07-stokes-and-related-oseen-etc-flows 65f08-preconditioners-for-iterative-methods
%N 3
%P 887--904
%R 10.1137/0613054
%T A Preconditioned Iterative Method for Saddlepoint Problems
%U http://dx.doi.org/10.1137/0613054
%V 13
%X A preconditioned iterative method for indefinite linear systems corresponding to certain saddlepoint problems is suggested. The block structure of the systems is utilized in order to design effective preconditioners, while the governing iterative solver is a standard minimum residual method. The method is applied to systems derived from discretizations of the Stokes problem and mixed formulations of second-order elliptic problems.
@article{citeulike:7603639,
abstract = {{A preconditioned iterative method for indefinite linear systems corresponding to certain saddlepoint problems is suggested. The block structure of the systems is utilized in order to design effective preconditioners, while the governing iterative solver is a standard minimum residual method. The method is applied to systems derived from discretizations of the Stokes problem and mixed formulations of second-order elliptic problems.}},
added-at = {2017-06-29T07:13:07.000+0200},
address = {Philadelphia},
author = {Rusten, Torgeir and Winther, Ragnar},
biburl = {https://www.bibsonomy.org/bibtex/25fa30da802e291f27a75f11b3050a825/gdmcbain},
citeulike-article-id = {7603639},
citeulike-linkout-0 = {http://portal.acm.org/citation.cfm?id=132785},
citeulike-linkout-1 = {http://dx.doi.org/10.1137/0613054},
doi = {10.1137/0613054},
interhash = {47cfcf26c16d30e7ec4e24591eb648ee},
intrahash = {5fa30da802e291f27a75f11b3050a825},
issn = {0895-4798},
journal = {SIAM Journal on Matrix Analysis and Applications},
keywords = {76d07-stokes-and-related-oseen-etc-flows 65f08-preconditioners-for-iterative-methods},
month = jul,
number = 3,
pages = {887--904},
posted-at = {2015-07-06 07:37:58},
priority = {2},
publisher = {Society for Industrial and Applied Mathematics},
timestamp = {2019-02-27T00:18:24.000+0100},
title = {{A Preconditioned Iterative Method for Saddlepoint Problems}},
url = {http://dx.doi.org/10.1137/0613054},
volume = 13,
year = 1992
}