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

doi:10.1007/s11425-010-4069-5

	A preconditioner for a kind of coupled FEM-BEM variational inequality
	Hu QiYa; Yu DeHao
	2010-11-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:11 页码:2811-2830
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.
关键词	Signorini contact FEM-BEM coupling variational inequality preconditioning gradient projection preconditioner condition number
DOI	10.1007/s11425-010-4069-5
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000284382200001
出版者	SCIENCE CHINA 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/9565
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.