On the convergence rate of a parallel nonoverlapping domain decomposition method

doi:10.1007/s11425-008-0103-2

	On the convergence rate of a parallel nonoverlapping domain decomposition method
	Qin LiZhen; Shi ZhongCi; Xu XueJun
	2008-08-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	51 期号:8 页码:1461-1478
摘要	In recent years, a nonoverlapping domain decomposition iterative procedure, which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces, has been developed and analyzed. It is known that the convergence rate of this method is 1 - O(h), where h is mesh size. In this paper, the convergence rate is improved to be 1 - O(h(1/2)H(-1/2)) sometime by choosing suitable parameter, where H is the subdomain size. Counter examples are constructed to show that our convergence estimates are sharp, which means that the convergence rate cannot be better than 1 - O(h(1/2)H(-1/2)) in a certain case no matter how parameter is chosen.
关键词	finite elements nonoverlapping domain decomposition convergence rate geometric optimal
DOI	10.1007/s11425-008-0103-2
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000258074400010
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6866
专题	计算数学与科学工程计算研究所
通讯作者	Xu XueJun
作者单位	Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Qin LiZhen,Shi ZhongCi,Xu XueJun. On the convergence rate of a parallel nonoverlapping domain decomposition method[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(8):1461-1478.
APA	Qin LiZhen,Shi ZhongCi,&Xu XueJun.(2008).On the convergence rate of a parallel nonoverlapping domain decomposition method.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(8),1461-1478.
MLA	Qin LiZhen,et al."On the convergence rate of a parallel nonoverlapping domain decomposition method".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.8(2008):1461-1478.