A preconditioner for a kind of coupled FEM-BEM variational inequality

doi:10.1007/s11425-010-4069-5

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A preconditioner for a kind of coupled FEM-BEM variational inequality
	Hu QiYa; Yu DeHao
刊名	SCIENCE CHINA-MATHEMATICS
	2010-11-01
卷号	53 期号:11 页码:2811-2830
关键词	Signorini contact FEM-BEM coupling variational inequality preconditioning gradient projection preconditioner condition number
ISSN号	1674-7283
DOI	10.1007/s11425-010-4069-5
英文摘要	In this paper we are concerned with a kind of nonlinear transmission problem with Signorini contact conditions. This problem can be described by a coupled FEM-BEM variational inequality. We first develop a preconditioning gradient projection method for solving the variational inequality. Then we construct an effective domain decomposition preconditioner for the discrete system. The preconditioner makes the coupled inequality problem be decomposed into an equation problem and a "small" inequality problem, which can be solved in parallel. We give a complete analysis to the convergence speed of this iterative method.
资助项目	National Natural Science Foundation of China[10771178] ; National Natural Science Foundation of China[10531080] ; National Basic Research Program of China[2005CB321702] ; National Basic Research Program of China[2005CB321701]
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE CHINA PRESS
WOS记录号	WOS:000284382200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9564]
专题	计算数学与科学工程计算研究所
通讯作者	Hu QiYa
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hu QiYa,Yu DeHao. A preconditioner for a kind of coupled FEM-BEM variational inequality[J]. SCIENCE CHINA-MATHEMATICS,2010,53(11):2811-2830.
APA	Hu QiYa,&Yu DeHao.(2010).A preconditioner for a kind of coupled FEM-BEM variational inequality.SCIENCE CHINA-MATHEMATICS,53(11),2811-2830.
MLA	Hu QiYa,et al."A preconditioner for a kind of coupled FEM-BEM variational inequality".SCIENCE CHINA-MATHEMATICS 53.11(2010):2811-2830.