INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS

	INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS
	Chen, Xingding 1; Hu, Qiya2
	2011
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	8 期号:1 页码:156-173
摘要	In this paper, we propose a domain decomposition method with Lagrange multipliers for three-dimensional linear elasticity, based on geometrically non-conforming subdomain partitions. Some appropriate multiplier spaces are presented to deal with the geometrically non-conforming partitions, resulting in a discrete saddle-point system. An augmented technique is introduced, such that the resulting new saddle-point system can be solved by the existing iterative methods. Two simple inexact preconditioners are constructed for the saddle-point system, one for the displacement variable, and the other for the Schur complement associated with the multiplier variable. It is shown that the global preconditioned system has a nearly optimal condition number, which is independent of the large variations of the material parameters across the local interfaces.
关键词	Domain decomposition geometrically non-conforming Lagrange multiplier saddle-point system preconditioners condition number
语种	英语
资助项目	Natural Science Foundation of China[G11031006] ; Natural Science Foundation of China[G10771178] ; National Basic Research Program of China[G2011309702]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000285650400009
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11940
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Xingding
作者单位	1.Beijing Technol & Business Univ, Coll Comp & Informat Engn, Dept Appl Math, Beijing 100048, Peoples R China 2.CAS, LSEC, Inst Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Xingding,Hu, Qiya. INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2011,8(1):156-173.
APA	Chen, Xingding,&Hu, Qiya.(2011).INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,8(1),156-173.
MLA	Chen, Xingding,et al."INEXACT SOLVERS FOR SADDLE-POINT SYSTEM ARISING FROM DOMAIN DECOMPOSITION OF LINEAR ELASTICITY PROBLEMS IN THREE DIMENSIONS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 8.1(2011):156-173.