Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers

	Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers
	Hu, QY
	2004-10-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	24 期号:4 页码:643-669
摘要	In this paper, we are concerned with the non-overlapping domain decomposition method with non-matching grids for three-dimensional elliptic equations. For this method, the interface variable is chosen as the mortar multiplier. We first develop a class of inexact solvers for the interface Poincare-Steklov operator associated with such a domain decomposition. Then we use the inexact solver to construct a new preconditioner for the interface problem arising from the Finite Element Tearing and Interconnecting method. It will be shown that the condition number of the preconditioned system grows only as the logarithm of the dimension of the local problem associated with an individual substructure, and is independent of possible jumps of the coefficient in the elliptic equation.
关键词	domain decomposition non-matching grids mortar multiplier Poincare-Steklov operator inexact solver preconditioner condition number
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000224206700007
出版者	OXFORD UNIV 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/994
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, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY. Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2004,24(4):643-669.
APA	Hu, QY.(2004).Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers.IMA JOURNAL OF NUMERICAL ANALYSIS,24(4),643-669.
MLA	Hu, QY."Preconditioning Poincare-Steklov operators arising from domain decompositions with mortar multipliers".IMA JOURNAL OF NUMERICAL ANALYSIS 24.4(2004):643-669.