PARALLEL DOMAIN DECOMPOSITION METHODS WITH THE OVERLAPPING OF SUBDOMAINS FOR PARABOLIC PROBLEMS

Authors
SHISHKIN GI VABISHCHEVICH PN
Citation
Gi. Shishkin et Pn. Vabishchevich, PARALLEL DOMAIN DECOMPOSITION METHODS WITH THE OVERLAPPING OF SUBDOMAINS FOR PARABOLIC PROBLEMS, Mathematical models and methods in applied sciences, 6(8), 1996, pp. 1169-1185
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
6
Issue
8
Year of publication
1996
Pages
1169 - 1185
Database
ISI
SICI code
0218-2025(1996)6:8<1169:PDDMWT>2.0.ZU;2-U
Abstract
For a model of two-dimensional boundary value problem for a second-ord er parabolic equation, finite difference schemes on the base of a doma in decomposition method, oriented on modern parallel computers, is con structed. In the used finite difference schemes iterations at time lev els are not applied; some subdomains overlap. We study two classes of schemes characterized by synchronous and asynchronous implementations. It is shown that, under refining grids, the approximate solutions do converge to the exact one in the uniform grid norm.