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International Journal of High Performance Computing Applications
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Domain Decomposition Methods for Partial Differential Equations On Parallel Computers

Gérard Meurant

CEA, CENTRE D'ETUDES DE LIMEIL-VALENTON, BP 27, 94190 VILLENEUVE ST GEORGES, FRANCE

In this paper we review several methods for solving large sparse linear systems arising from discretization of elliptic partial differential equations on parallel com puters. The main idea is to use domain decomposition to introduce some parallelism. We describe techniques such as the Schwarz algorithm and the block incomplete factorization method, showing with examples the effi ciency of these domain decomposition techniques when the number of subdomains is increased.

International Journal of High Performance Computing Applications, Vol. 2, No. 4, 5-12 (1988)
DOI: 10.1177/109434208800200402
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