Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems

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	Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems
	Chen, JR ; Xu, XJ
	2002
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	191 期号:15-16 页码:1677-1699
摘要	In this paper, two mortar versions of the so-called projection nonconforming and the mixed element methods are proposed, respectively. for nonselfadjoint and indefinite second-order elliptic problems. It is proven that the mortar mixed element method is equivalent to the mortar projection nonconforming element method, Based on this equivalence., the existence. uniqueness. and uniform convergence of the solution for mortar mixed element method are shown only under minimal regularity assumption. Meanwhile, the optimal error estimate is obtained under certain regularity assumption. Furthermore, an additive Schwarz preconditioning method is proposed for solving the discrete problem and the nearly optimal convergence rate for the preconditioned GMRES method is proven under minimal regularity assumption. Finally, the practical implementation of the method is adderssed and numerical experiments are presented. (C) 2002 Elsevier Science B.V. All rights reserved.
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000173630400007
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17223
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, XJ
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
推荐引用方式 GB/T 7714	Chen, JR,Xu, XJ. Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2002,191(15-16):1677-1699.
APA	Chen, JR,&Xu, XJ.(2002).Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,191(15-16),1677-1699.
MLA	Chen, JR,et al."Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 191.15-16(2002):1677-1699.