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Some Non-overlapping Domain Decomposition Methods

Jinchao XuJun Zou

出版	Penn State Department of Mathematics, 1998
URL	http://books.google.com.hk/books?id=Mhc-MwEACAAJ&hl=&source=gbs_api

註釋

The purpose of this paper is to give a unified investigation on a class of non-overlapping domain decomposition methods for solving second order elliptic problems in two and three dimensions. The methods under scrutiny fall into two major categories: the substructuring type methods and the Neumann-Neumann type methods. The basic framework used for analysis is the parallel subspace correction method or additive Schwarz method, and other technical tools include local-global and global-local techniques. The analyses for both two and three dimensional cases are carried out simultaneously. Some internal relationships between various algorithms are observed and several new variants of the algorithms are also derived.