中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS

文献类型:期刊论文

作者Qin, Lizhen; Xu, Xuejun
刊名SIAM JOURNAL ON SCIENTIFIC COMPUTING
出版日期2008
卷号31期号:1页码:608-623
关键词parabolic problem nonconforming finite elements nonoverlapping domain decomposition Robin transmission condition convergence rate optimal parameter
ISSN号1064-8275
DOI10.1137/070682149
英文摘要In this paper, optimized Schwarz methods with Robin transmission conditions are considered for solving the time-dependent linear algebraic systems resulting from finite element approximations for parabolic problems. We use both analysis and numerical experiments to investigate the convergence behavior. Particularly, we check the influence of the time step size on the convergence rate. We get the estimate of the upper bound of convergence rate 1 - O(min{h(1/2) H(-1/2), h(1/2) H(3/2) tau(-1)}), where h is the mesh size, H is the size of subdomains, and tau is the time step size. Our numerical results show that the convergence rate of this method is fast. We also search for the optimal parameter lambda by experiments and find the rule of its distribution.
资助项目national basic research projects (973)[2005CB321701] ; National Science Foundation (NSF) of China[10731060]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000263104000024
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6263]  
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, Acad Math & Syst Sci, Inst Computat Math & Sci Engn, Beijing 100864, Peoples R China
推荐引用方式
GB/T 7714
Qin, Lizhen,Xu, Xuejun. OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2008,31(1):608-623.
APA Qin, Lizhen,&Xu, Xuejun.(2008).OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,31(1),608-623.
MLA Qin, Lizhen,et al."OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 31.1(2008):608-623.

入库方式: OAI收割

来源:数学与系统科学研究院

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