Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems

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	Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems
	Chen, JR ; Huang, JG ; Li, LK
	2000
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	189 期号:3 页码:943-960
摘要	In this paper, a mortar version of the modified mixed element method is proposed for nonselfadjoint and indefinite second-order elliptic problems. It is proven that the modified mortar mixed element method is equivalent to a modified mortar nonconforming element method. Based on this equivalence, the existence, uniqueness and uniform convergence of the solution for the modified mortar mixed element method are shown under minimal regularity assumption. Meanwhile an optimal error estimate for the modified mortar mixed element method is obtained under H-2 smoothness assumption. Furthermore an additive Schwarz preconditioning method for solving the discrete problem is provided and the nearly optimal convergence rate for the preconditioned GMRES method is proven under the minimal regularity assumption. (C) 2000 Elsevier Science S.A. 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:000089387700013
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/14958
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.Fudan Univ, Inst Math, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China 4.Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200240, Peoples R China 5.Fudan Univ, Dept Math, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Chen, JR,Huang, JG,Li, LK. Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2000,189(3):943-960.
APA	Chen, JR,Huang, JG,&Li, LK.(2000).Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,189(3),943-960.
MLA	Chen, JR,et al."Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 189.3(2000):943-960.