General theory of domain decomposition: Beyond Schwarz methods

被引：4

作者：

Herrera, I ^{[1
]}

Yates, R ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Geofis, Mexico City 14000, DF, Mexico

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2001年 / 17卷 / 05期

关键词：

domain decomposition; collocation; Trefftz-Herrera; parallel computing; LAM;

D O I：

10.1002/num.1024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Herrera presented a general theory of domain decomposition methods (DDM). This article is part of a line of research devoted to its further development and applications. According to it, DDM are classified into direct and indirect, which in turn can be subdivided into overlapping and nonoverlapping. Some articles dealing with general aspects of the theory and with indirect (Trefftz Herrera) methods have been published. In the present article, a very general direct-overlapping method, which subsumes Schwarz methods, is introduced. Also, this direct-overlapping method is quite suitable for parallel implementation. (C) 2001 John Wiley & Sons, Inc.

引用

页码：495 / 517

页数：23

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