KMS Of Academy of mathematics and systems sciences, CAS
| OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS | |
Qin, Lizhen; Xu, Xuejun
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| 2008 | |
| Source Publication | SIAM JOURNAL ON SCIENTIFIC COMPUTING
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| ISSN | 1064-8275 |
| Volume | 31Issue:1Pages:608-623 |
| Abstract | 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. |
| Keyword | parabolic problem nonconforming finite elements nonoverlapping domain decomposition Robin transmission condition convergence rate optimal parameter |
| DOI | 10.1137/070682149 |
| Language | 英语 |
| Funding Project | national basic research projects (973)[2005CB321701] ; National Science Foundation (NSF) of China[10731060] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000263104000024 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/6264 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Qin, Lizhen |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn, Beijing 100864, Peoples R China |
| Recommended Citation 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. |
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