Preconditioning the Poincare-Steklov operator by using Green's function

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	Preconditioning the Poincare-Steklov operator by using Green's function
	Xu, JC; Zhang, S
	1997
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	66 期号:217 页码:125-138
摘要	This paper is concerned with the Poincare-Steklov operator that is widely used in domain decomposition methods. It is proved that the inverse of the Poincare-Steklov operator can je expressed explicitly by an integral operator with a kernel being the Green's function restricted to the interface. As an application, for the discrete Poincare-Steklov operator with respect to either a line (edge) or a star-shaped web associated with a single vertex point, a preconditioner can be constructed by first imbedding the line as the diameter of a disk, or the web as a union of radii of a disk, and then using the Green's function on the disk. The proposed technique can be effectively used in conjunction with various existing domain decomposition techniques, especially with the methods based on vertex spaces (from multi-subdomain decomposition). Some numerical results are reported.
关键词	domain decomposition preconditioner Schur complement Green's function multigrid Poincare-Steklov operator
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1997WE36600008
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29013
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, JC
作者单位	CHINESE ACAD SCI,CTR COMP,STATE KEY LAB SCI & ENGN COMP,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Xu, JC,Zhang, S. Preconditioning the Poincare-Steklov operator by using Green's function[J]. MATHEMATICS OF COMPUTATION,1997,66(217):125-138.
APA	Xu, JC,&Zhang, S.(1997).Preconditioning the Poincare-Steklov operator by using Green's function.MATHEMATICS OF COMPUTATION,66(217),125-138.
MLA	Xu, JC,et al."Preconditioning the Poincare-Steklov operator by using Green's function".MATHEMATICS OF COMPUTATION 66.217(1997):125-138.