Schurras: A restricted version of the overlapping Schur complement preconditioner

doi:10.1137/040608350

CSpace

	Schurras: A restricted version of the overlapping Schur complement preconditioner
	Li, ZZ ; Saad, Y
	2006
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	27 期号:5 页码:1787-1801
摘要	This paper presents a preconditioner based on solving approximate Schur complement systems with the overlapping restricted additive Schwarz (RAS) methods. The construction of the preconditioner, called SchurRAS, is as simple as in the standard RAS. The communication requirements for each application of the preconditioning operation are also similar to those of the standard RAS approach. In the particular case when the degree of overlap is one, then SchurRAS and RAS involve exactly the same communication volume per step. In addition, SchurRAS has the same degree of parallelism as RAS. In some numerical experiments with a model problem, the convergence rate of the method was found to be similar to that of the multiplicative Schwarz (MS) method. The Schur-based RAS usually outperforms the standard RAS both in terms of iteration count and CPU time. For a few two-dimensional scaled problems, SchurRAS was about twice as fast as the stardard RAS on 64 processors.
关键词	parallel preconditioning distributed sparse linear systems Schur complement techniques domain decomposition additive Schwarz preconditioner restricted additive Schwarz preconditioner
DOI	10.1137/040608350
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235216100016
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/2887
专题	中国科学院数学与系统科学研究院
通讯作者	Li, ZZ
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100864, Peoples R China 2.Univ Minnesota, Dept Comp Sci & Engn, Minneapolis, MN 55455 USA
推荐引用方式 GB/T 7714	Li, ZZ,Saad, Y. Schurras: A restricted version of the overlapping Schur complement preconditioner[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2006,27(5):1787-1801.
APA	Li, ZZ,&Saad, Y.(2006).Schurras: A restricted version of the overlapping Schur complement preconditioner.SIAM JOURNAL ON SCIENTIFIC COMPUTING,27(5),1787-1801.
MLA	Li, ZZ,et al."Schurras: A restricted version of the overlapping Schur complement preconditioner".SIAM JOURNAL ON SCIENTIFIC COMPUTING 27.5(2006):1787-1801.