A Parallel Iterative Domain Decomposition Algorithm for Elliptic Problems

A Parallel Iterative Domain Decomposition Algorithm for Elliptic Problems

Year:    1998

Author:    Daoqi Yang

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 2 : pp. 141–151

Abstract

An iterative nonoverlapping domain decomposition procedure is proposed and analyzed for linear elliptic problems. At the interface of two subdomains, one subdomain problem requires that Dirichlet data be passed to it from the previous iteration level, while the other subdomain problem requires that Neumann data be passed to it. This procedure is suitable for parallel processing. A convergence analysis is established. Standard and mixed finite element methods are employed to give discrete versions of this domain decomposition algorithm. Numerical experiments are conducted to show the effectiveness of the method.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JCM-9148

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 2 : pp. 141–151

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Domain decomposition methods finite element methods parallel computing.

Author Details

Daoqi Yang