A regularized domain decomposition method with Lagrange multiplier

doi:10.1007/s10444-004-4094-4

	A regularized domain decomposition method with Lagrange multiplier
	Hu, Qiya
	2007-05-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	26 期号:4 页码:367-401
摘要	In this paper, we are concerned with the nonoverlapping domain decomposition method with Lagrange multiplier for three-dimensional second-order elliptic problems with no zeroth-order term. It is known that the methods result in a singular subproblem on each internal (floating) subdomain. To handle the singularity, we propose a regularization technique which transforms the corresponding singular problems into approximate positive definite problems. For the regularized method, one can build the interface equation of the multiplier directly. We first derive an optimal error estimate of the regularized approximation, and then develop a cheap preconditioned iterative method for solving the interface equation. For the new method, the cost of computation will not be increased comparing the case without any floating subdomain. The effectiveness of the new method will be confirmed by both theoretical analyzes and numerical experiments.
关键词	domain decomposition nonmatching grids mortar element Lagrange multipliers regularization interface equation preconditioner condition number
DOI	10.1007/s10444-004-4094-4
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000245007600001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4376
专题	计算数学与科学工程计算研究所
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Qiya. A regularized domain decomposition method with Lagrange multiplier[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2007,26(4):367-401.
APA	Hu, Qiya.(2007).A regularized domain decomposition method with Lagrange multiplier.ADVANCES IN COMPUTATIONAL MATHEMATICS,26(4),367-401.
MLA	Hu, Qiya."A regularized domain decomposition method with Lagrange multiplier".ADVANCES IN COMPUTATIONAL MATHEMATICS 26.4(2007):367-401.