Header

UZH-Logo

Maintenance Infos

Conjugate gradient-type algorithms for a finite-element discretization of the Stokes equations


Heusser, C (1992). Conjugate gradient-type algorithms for a finite-element discretization of the Stokes equations. Journal of Computational and Applied Mathematics, 39(1):23-37.

Abstract

he discretization of the Stokes equations with the mini-element yields a linear system of equations whose system matrix is symmetric and indefinite. It has two symmetric blocks, one of which is positive definite, the other negative definite. A change of sign in the second block destroys the symmetry but the resulting matrix is coercive. We discuss different conjugate gradient-like algorithms for these two systems, and compare the storage and work requirements. The numerical results of several test examples are given.

Abstract

he discretization of the Stokes equations with the mini-element yields a linear system of equations whose system matrix is symmetric and indefinite. It has two symmetric blocks, one of which is positive definite, the other negative definite. A change of sign in the second block destroys the symmetry but the resulting matrix is coercive. We discuss different conjugate gradient-like algorithms for these two systems, and compare the storage and work requirements. The numerical results of several test examples are given.

Statistics

Citations

1 citation in Web of Science®
2 citations in Scopus®
Google Scholar™

Altmetrics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Stokes equations; mini-element; conjugate gradient-; conjugate residual-; biconjugate gradient algorithms
Language:English
Date:1992
Deposited On:29 Nov 2010 16:29
Last Modified:05 Apr 2016 13:28
Publisher:Elsevier
ISSN:0377-0427
Publisher DOI:https://doi.org/10.1016/0377-0427(92)90219-N
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0742.76050

Download

Full text not available from this repository.
View at publisher