A multigrid method or the mortar-type Morley element approximation of a plate bending problem

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	A multigrid method or the mortar-type Morley element approximation of a plate bending problem
	Xu, XJ ; Li, LK ; Chen, WB
	2002-01-14
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	39 期号:5 页码:1712-1731
摘要	In this paper, a multigrid algorithm is presented for the mortar element method for the Morley nonconforming plate element. Based on the multigrid theory developed by Bramble, Pasciak, and Xu in [ Math. Comp., 56 (1991), pp. 1-34], we prove that the W-cycle multigrid method is optimal, i.e., the convergence rate is independent of the mesh size and mesh level. Moreover, a variable V-cycle multigrid preconditioner is constructed, which results in a preconditioned system with a uniformly bounded condition number.
关键词	multigrid mortar element methods the Morley element plate problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000173578200011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17110
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, LSEC, Beijing 100080, Peoples R China 2.Fudan Univ, Dept Math, Shanghai 200437, Peoples R China
推荐引用方式 GB/T 7714	Xu, XJ,Li, LK,Chen, WB. A multigrid method or the mortar-type Morley element approximation of a plate bending problem[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,39(5):1712-1731.
APA	Xu, XJ,Li, LK,&Chen, WB.(2002).A multigrid method or the mortar-type Morley element approximation of a plate bending problem.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(5),1712-1731.
MLA	Xu, XJ,et al."A multigrid method or the mortar-type Morley element approximation of a plate bending problem".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.5(2002):1712-1731.