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 |
| DOI | 10.1137/070682149 |
| 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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