A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation

doi:10.1016/S0096-3003(03)00201-7

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	A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation
	Xu, XJ ; Lui, SH
	2003-12-25
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	145 期号:2-3 页码:683-700
摘要	In this paper, we consider a finite element approximation of a nonlinear biharmonic equation which is related to the well-known two-dimensional Navier-Stokes equations. First, optimal energy and H-1-norm estimates are obtained. Second, a two-level additive Schwarz method is presented for the discrete nonlinear algebraic system. It is shown that if the Reynolds number is sufficiently small, the two-level Schwarz method is optimal, i.e., the convergence rate of the Schwarz method is independent of the mesh size and the number of subdomains. (C) 2003 Elsevier Inc. All rights reserved.
DOI	10.1016/S0096-3003(03)00201-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000185580000042
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/19077
专题	中国科学院数学与系统科学研究院
通讯作者	Lui, SH
作者单位	1.Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, XJ,Lui, SH. A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2003,145(2-3):683-700.
APA	Xu, XJ,&Lui, SH.(2003).A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation.APPLIED MATHEMATICS AND COMPUTATION,145(2-3),683-700.
MLA	Xu, XJ,et al."A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation".APPLIED MATHEMATICS AND COMPUTATION 145.2-3(2003):683-700.