KMS Of Academy of mathematics and systems sciences, CAS
| LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM | |
Tang, Shibing1; Xu, Xuejun1,2
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| 2017 | |
| Source Publication | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| ISSN | 1064-8275 |
| Volume | 39Issue:6Pages:A2592-A2615 |
| Abstract | 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. |
| Keyword | biharmonic problem Schwarz framework Bogner-Fox-Schmit element Adini element local multilevel method |
| DOI | 10.1137/17M111008X |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11671302] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000418659900019 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/27013 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Tang, Shibing |
| Affiliation | 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 |
| Recommended Citation 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. |
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