Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems

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	Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems
	Chen, JR ; Xu, XJ
	2002-04-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	136 期号:2-3 页码:517-533
摘要	In this paper, the mortar element method for non-selfadjoint and indefinite second order elliptic problems is studied. Only under minimal regularity assumption, the existence, uniqueness and uniform convergence of the solution for the mortar element method are proven. Furthermore, an additive Schwarz preconditioning method is proposed and nearly optimal convergence rate for the preconditioned GMRES method is shown under minimal regularity assumption. (C) 2002 Elsevier Science Inc. All rights reserved.
关键词	mortar element indefinite uniform convergence Schwarz method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000179307000027
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17622
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, JR
作者单位	1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, JR,Xu, XJ. Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems[J]. APPLIED MATHEMATICS AND COMPUTATION,2002,136(2-3):517-533.
APA	Chen, JR,&Xu, XJ.(2002).Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems.APPLIED MATHEMATICS AND COMPUTATION,136(2-3),517-533.
MLA	Chen, JR,et al."Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems".APPLIED MATHEMATICS AND COMPUTATION 136.2-3(2002):517-533.