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

文献类型：期刊论文

作者Hu QiYa; Yu DeHao
刊名SCIENCE CHINA-MATHEMATICS
出版日期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
DOI10.1007/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
WOS记录号WOS:000284382200001
出版者SCIENCE CHINA PRESS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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