A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation

CSpace

	A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation
	Xu, XJ ; Lui, SH ; Rahman, T
	2004
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	24 期号:1 页码:97-122
摘要	In this paper, we consider the well known Morley nonconforming element approximation of a nonlinear biharmonic equation which is related to the well-known two-dimensional Navier-Stokes equations. Firstly, optimal energy and H-1-norm estimates are obtained. Secondly, 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.
关键词	the Morley element nonlinear biharmonic equation additive Schwarz method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000187224800005
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/732
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, LSEC, Inst Computat Math, Beijing 100080, Peoples R China 2.Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada 3.Univ Augsburg, Inst Math, D-86159 Augsburg, Germany
推荐引用方式 GB/T 7714	Xu, XJ,Lui, SH,Rahman, T. A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2004,24(1):97-122.
APA	Xu, XJ,Lui, SH,&Rahman, T.(2004).A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation.IMA JOURNAL OF NUMERICAL ANALYSIS,24(1),97-122.
MLA	Xu, XJ,et al."A two-level additive Schwarz method for the Morley nonconforming element approximation of a nonlinear biharmonic equation".IMA JOURNAL OF NUMERICAL ANALYSIS 24.1(2004):97-122.