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On a parallel Robin-type nonoverlapping domain decomposition method

文献类型：期刊论文

作者Qin, Lizhen; Xu, Xuejun
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2006
卷号44期号:6页码:2539-2558
关键词nonconforming finite elements nonoverlapping domain decomposition convergence rate geometric convergence
ISSN号0036-1429
DOI10.1137/05063790X
英文摘要In recent years, a nonoverlapping Robin-type domain decomposition method (DDM) for the finite element discretization systems of the second order elliptic equations, which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces, has been developed and analyzed since it was first proposed by P. L. Lions in [On the Schwarz alternating method III: A variant for nonoverlapping subdomains, in Proceedings of the 3rd International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, PA, 1990, pp. 202 - 223]. However, the convergence rate of this DDM with many subdomains remains open when the lower term of equations vanishes. This open problem will be considered in this paper. The convergence rate is almost 1 - O(h(1/2)H-(1/2)) in certain cases - for example, the case of a small number of subdomains, where h is the mesh size and H is the size of subdomain. In order to get the desirous convergence results, two mathematics skills are introduced in this paper; one is complexification of real linear space and the other is the spectral radius formula.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000243968000013
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/3746]  
专题计算数学与科学工程计算研究所
通讯作者Qin, Lizhen
作者单位Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式
GB/T 7714		 Qin, Lizhen,Xu, Xuejun. On a parallel Robin-type nonoverlapping domain decomposition method[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2006,44(6):2539-2558.
APA Qin, Lizhen,&Xu, Xuejun.(2006).On a parallel Robin-type nonoverlapping domain decomposition method.SIAM JOURNAL ON NUMERICAL ANALYSIS,44(6),2539-2558.
MLA Qin, Lizhen,et al."On a parallel Robin-type nonoverlapping domain decomposition method".SIAM JOURNAL ON NUMERICAL ANALYSIS 44.6(2006):2539-2558.

入库方式： OAI收割

来源：数学与系统科学研究院

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