THE DOMAIN DECOMPOSITION METHOD FOR MULTIDIMENSIONAL AND LARGE SCALE NONLINEAR SYSTEMS—CASE OF SUBDOMAINS OVERLAPPING
作者:
HE QIMING,
KANG LISHAN,
期刊:
Parallel Algorithms and Applications
(Taylor Available online 1994)
卷期:
Volume 4,
issue 1-2
页码: 77-90
ISSN:1063-7192
年代: 1994
DOI:10.1080/10637199408915456
出版商: Taylor & Francis Group
关键词: Large scale and nonlinear systems;domain decomposition;semi-discrete solution;convergence;G.1.0;G.1.8
数据来源: Taylor
摘要:
In this article, we present the method of space domain decomposition for the initial-boundary value problem of a class of multidimensional nonlinear parabolic systems. Firstly, by discretization of the timet, we reduce the original problem to the boundary value problem of the nonlinear elliptic systems. Secondly, making use of the Leary-Schauder fixed point theorem, we prove the existence of the solution for this boundary value problem of elliptic type. Finally, applying the prior estimations, we prove the convergence of the semi-discrete solution.
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