Domain decomposition methods领域分解方法-算法和理论
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作者： Andrea Toselli著
出 版 社： 北京燕山出版社
出版时间： 2004-11-1字数：版次： 1页数： 450印刷时间： 2004/11/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9783540206965包装： 精装内容简介
The purpose of this text is to offer a comprehensive and self-contained presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. Strong emphasis is placed on both algorithmic and mathematical aspects. Some important methods such FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods, not treated previously in any monograph, are covered in detail.
目录
1 Introduction
2 Abstract theory of Schwarz methods
3 Two-level overlapping methods
4 Substructuring methods : introduction
5 Primal interative substructuring methods
6 Neumann-neumann and FETI methods
7 Spectral element methods
8 Linear elasticity
9 Preconditioners for saddle point problems
10 Problems in H (div ;Ω) and H (curl ;Ω )
11 Indefinite and nonsymmetric problems
A Elliptic problems and Sobolev spaces
B Galerkin approximations
