Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains
文献类型：期刊论文
| 作者 | Zhang, Shuo |
| 刊名 | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
 |
| 出版日期 | 2020-08-01 |
| 卷号 | 12期号:4页码:1008-1034 |
| 关键词 | Reissner-Mindlin plate Kirchhoff plate multiply-connected domain uniformly optimal solver regular decomposition |
| ISSN号 | 2070-0733 |
| DOI | 10.4208/aamm.OA-2019-0081 |
| 英文摘要 | In this paper, we study the mixed element schemes of the Reissner-Mindlin plate model and the Kirchhoff plate model in multiply-connected domains. Constructing a regular decomposition of H-0 (rot, Omega) and a Helmholtz decomposition of its dual, we develop mixed formulations of the models which are equivalent to the primal ones respectively and which are uniformly stable. We then present frameworks of designing uniformly stable mixed finite element schemes and of generating primal finite element schemes from the mixed ones. Specific finite elements are given under the frameworks as an example, and the primal scheme obtained coincides with a Duran-Liberman scheme which was constructed originally on simply-connected domains. Optimal solvers are constructed for the schemes. |
| 资助项目 | NSFC[11471026] ; NSFC[11871465] ; NCMIS, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000538166100008 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51563]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Shuo |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Shuo. Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2020,12(4):1008-1034. |
| APA | Zhang, Shuo.(2020).Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,12(4),1008-1034. |
| MLA | Zhang, Shuo."Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 12.4(2020):1008-1034. |
入库方式： OAI收割
来源：数学与系统科学研究院
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