Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers

doi:10.1137/S0036142902404108

	Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers
	Hu, QY; Shi, ZC; Yu, DH
	2004
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	42 期号:3 页码:905-933
摘要	In this paper, we are concerned with the domain decomposition method with Lagrange multipliers for solving three-dimensional elliptic problems with variable coefficients. We shall first introduce a weighted saddle-point problem resulting from this domain decomposition, which can be solved by existing iterative methods. Then we will construct two simple preconditioners, one for the system associated with the displacement variable and the other for the Schur complement system associated with the multiplier variable, that are applicable to various discretization schemes. The new preconditioners possess such local properties that they can be implemented cheaply. We will show that the condition number of the global preconditioned system grows only as the logarithm of the dimension of the local problem associated with an individual substructure and is independent of the large variations of the coefficients across the local interfaces.
关键词	domain decomposition nonmatching grids mortar element Lagrange multiplier weighted saddle-point problem preconditioner condition number
DOI	10.1137/S0036142902404108
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225887500001
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19511
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 & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Shi, ZC,Yu, DH. Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2004,42(3):905-933.
APA	Hu, QY,Shi, ZC,&Yu, DH.(2004).Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers.SIAM JOURNAL ON NUMERICAL ANALYSIS,42(3),905-933.
MLA	Hu, QY,et al."Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers".SIAM JOURNAL ON NUMERICAL ANALYSIS 42.3(2004):905-933.