Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems

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	Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems
	Chen, JR
	2000-04-01
发表期刊	COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
ISSN	1069-8299
卷号	16 期号:4 页码:275-292
摘要	In this paper, the existence, uniqueness and uniform convergence of the solution of the Carey nonconforming element with non-quasi-uniform partitions is proved for non-self-adjoint and indefinite second-order elliptic problems under a minimal regularity assumption. Furthermore, the optimal error estimate for the solution of Carey non-conforming element method is obtained only under an H-2 Smoothness hypothesis. Finally, a two-level Schwarz method which suits non-quasi-uniform partitions is proposed and optimal convergence for the pre-conditioned GMRES method is shown. Copyright (C) 2000 John Wiley & Sons, Ltd.
关键词	non-self-adjoint and indefinite Carey non-conforming clement non-quasi-uniform partition minimal regularity Schwarz method
语种	英语
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000086811700005
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15443
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, Dept Math, 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. Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING,2000,16(4):275-292.
APA	Chen, JR.(2000).Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems.COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING,16(4),275-292.
MLA	Chen, JR."Uniform convergence and two-level Schwarz method for Carey non-conforming element method for non-self-adjoint and indefinite problems".COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING 16.4(2000):275-292.