A V-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements

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	A V-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements
	Xu, XJ ; Li, LK
	1998-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	93 期号:2-3 页码:233-258
摘要	It is well known that many conforming plate finite element spaces in the multilevel methods are nonnested even when the triangulations are nested, so it is difficult to construct the effective V-cycle multigrid method and multilevel preconditioners for the plate bending problem. In this paper, a new method dealing with multilevel methods for finite element discretisation equations of the plate problem is developed. An optimal V-cycle multigrid method and multilevel preconditioners for some famous conforming plate elements are constructed. Moreover, our methods can be applied to the plate problem with complicated geometries. (C) 1998 Elsevier Science Inc. All rights reserved.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000074564600011
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/13509
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, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China 3.Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Xu, XJ,Li, LK. A V-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements[J]. APPLIED MATHEMATICS AND COMPUTATION,1998,93(2-3):233-258.
APA	Xu, XJ,&Li, LK.(1998).A V-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements.APPLIED MATHEMATICS AND COMPUTATION,93(2-3),233-258.
MLA	Xu, XJ,et al."A V-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements".APPLIED MATHEMATICS AND COMPUTATION 93.2-3(1998):233-258.