Acceleration of the non-symmetrized two-level iteration

CSpace

	Acceleration of the non-symmetrized two-level iteration
	Hu, QY ; Liang, GP
	2002-05-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	41 期号:2 页码:305-323
摘要	In this paper we discuss two-level multiplicative Schwarz methods, which result in unsymmetric systems in their solution spaces. We introduce a new algorithm to accelerate this iteration by applying the conjugate gradient (CG) scheme to a subspace. It will be shown that this algorithm possesses a CG-type convergence rate. Our algorithm has obvious advantages over the existing Schwarz-CG algorithms. Its application to two-level grid methods will be also considered. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
关键词	multiplicative Schwarz rnethod convergence acceleration convergence rate condition number
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000175221100005
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17999
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, QY
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, QY,Liang, GP. Acceleration of the non-symmetrized two-level iteration[J]. APPLIED NUMERICAL MATHEMATICS,2002,41(2):305-323.
APA	Hu, QY,&Liang, GP.(2002).Acceleration of the non-symmetrized two-level iteration.APPLIED NUMERICAL MATHEMATICS,41(2),305-323.
MLA	Hu, QY,et al."Acceleration of the non-symmetrized two-level iteration".APPLIED NUMERICAL MATHEMATICS 41.2(2002):305-323.