Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems

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	Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems
	Zhang, Sheng ; Yu, Dehao
	2007
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	25 期号:1 页码:13-26
摘要	In this paper, some V-cycle multigrid algorithms are presented for the coupling system arising from the discretization of the Dirichlet exterior problem by coupling the natural boundary element method and finite element method. The convergence of these multigrid algorithms is obtained even with only one smoothing on all levels. The rate of convergence is found uniformly bounded independent of the number of levels and the mesh sizes of all levels, which indicates that these multigrid algorithms axe optimal. Some numerical results are also reported.
关键词	multigird algorithm finite element method boundary element method coupling unbounded domain problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000243393300002
出版者	GLOBAL SCIENCE 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/4836
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Sheng
作者单位	1.Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China 2.Nankai Univ, LPMC, Tianjin 300071, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Sheng,Yu, Dehao. Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2007,25(1):13-26.
APA	Zhang, Sheng,&Yu, Dehao.(2007).Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems.JOURNAL OF COMPUTATIONAL MATHEMATICS,25(1),13-26.
MLA	Zhang, Sheng,et al."Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems".JOURNAL OF COMPUTATIONAL MATHEMATICS 25.1(2007):13-26.