LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM
文献类型：期刊论文
| 作者 | Tang, Shibing1; Xu, Xuejun1,2
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2017 |
| 卷号 | 39期号:6页码:A2592-A2615 |
| 关键词 | biharmonic problem Schwarz framework Bogner-Fox-Schmit element Adini element local multilevel method |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/17M111008X |
| 英文摘要 | In this paper, some local multilevel methods are presented to solve the linear algebraic systems resulting from the application of adaptive conforming Bogner-Fox-Schmit rectangular element and nonconforming Adini rectangular element approximations to the biharmonic problem. The abstract Schwarz framework is applied to verify the uniform convergence of the local multilevel methods featuring Jacobi and Gauss-Seidel smoothing only on local nodes associated with the local refinements. By the abstract framework, a convergence estimate may also be derived from the stability of the space splitting and its strengthened Cauchy Schwarz inequality. We demonstrate the optimality of the proposed algorithms by extensive numerical experiments. |
| 资助项目 | National Natural Science Foundation of China[11671302] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000418659900019 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/27012]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Tang, Shibing |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Tongji Univ, Sch Math Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Shibing,Xu, Xuejun. LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2017,39(6):A2592-A2615. |
| APA | Tang, Shibing,&Xu, Xuejun.(2017).LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM.SIAM JOURNAL ON SCIENTIFIC COMPUTING,39(6),A2592-A2615. |
| MLA | Tang, Shibing,et al."LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM".SIAM JOURNAL ON SCIENTIFIC COMPUTING 39.6(2017):A2592-A2615. |
入库方式： OAI收割
来源：数学与系统科学研究院
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