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DOMAIN DECOMPOSITION METHODS WITH NONMATCHING GRIDS FOR THE UNILATERAL PROBLEM
引用本文:Ping Luo (Department of Computer Science,Tsinghua University,Beijing 100084,China) Guo-ping Liang (Institute of Mathematics,Academy of Mathematics and System,Chinese Academy of Sciences,Beijing 100080,China). DOMAIN DECOMPOSITION METHODS WITH NONMATCHING GRIDS FOR THE UNILATERAL PROBLEM[J]. 计算数学(英文版), 2002, 0(2)
作者姓名:Ping Luo (Department of Computer Science  Tsinghua University  Beijing 100084  China) Guo-ping Liang (Institute of Mathematics  Academy of Mathematics and System  Chinese Academy of Sciences  Beijing 100080  China)
作者单位:Ping Luo (Department of Computer Science,Tsinghua University,Beijing 100084,China) Guo-ping Liang (Institute of Mathematics,Academy of Mathematics and System,Chinese Academy of Sciences,Beijing 100080,China)
基金项目:NSFC grant number 19971050 and by 973 grant number G1998030420.
摘    要:1. IntroductionDomain decomposition methods (DDMs) with nonmatching grids, which have been deveLoped in recent years3 are a quite new class of nonconforming DDMs. As this kind of DDMscan be aPplied to solving many practical problems which can't be handled…


DOMAIN DECOMPOSITION METHODS WITH NONMATCHING GRIDS FOR THE UNILATERAL PROBLEM
Ping Luo. DOMAIN DECOMPOSITION METHODS WITH NONMATCHING GRIDS FOR THE UNILATERAL PROBLEM[J]. Journal of Computational Mathematics, 2002, 0(2)
Authors:Ping Luo
Abstract:This paper is devoted to the construction of domain decomposition methods with non-matching grids based on mixed finite element methods for the unilateral problem. The existence and uniqueness of solution are discussed and optimal error bounds are obtained. Furthermore, global superconvergence estimates are given.
Keywords:Domain decomposition   Variational inequality   Global superconvergence   Non- matching grids.
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