Iteratively solving a kind of Signorini transmission problem in a unbounded domain

doi:10.1051/m2an:2005031

	Iteratively solving a kind of Signorini transmission problem in a unbounded domain
	Hu, QY; Yu, DH
	2005-07-01
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	39 期号:4 页码:715-726
摘要	In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration is independent of the mesh size. Besides, a combination between this method and the steepest descent method is also discussed.
关键词	Signorini contact FEM-BEM coupling variational inequality D-N alternation convergence rate
DOI	10.1051/m2an:2005031
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232123400004
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1235
专题	计算数学与科学工程计算研究所
通讯作者	Hu, QY
作者单位	Chinese Acad Sci, Acad Math, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Yu, DH. Iteratively solving a kind of Signorini transmission problem in a unbounded domain[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2005,39(4):715-726.
APA	Hu, QY,&Yu, DH.(2005).Iteratively solving a kind of Signorini transmission problem in a unbounded domain.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,39(4),715-726.
MLA	Hu, QY,et al."Iteratively solving a kind of Signorini transmission problem in a unbounded domain".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 39.4(2005):715-726.