LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM
文献类型：期刊论文
| 作者 | Man, Hong-Ying1; Hu, Jun2,3; Shi, Zhong-Ci4
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| 刊名 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
 |
| 出版日期 | 2009 |
| 卷号 | 19期号:1页码:51-65 |
| 关键词 | Elasticity mixed method nonconforming finite element |
| ISSN号 | 0218-2025 |
| 英文摘要 | In this paper, we propose a first-order rectangular nonconforming element for the stress-displacement system derived from the Hellinger-Reissner variational principle for the three-dimensional elasticity problem. We show that the discrete inf-sup condition holds for this scheme. Based on some superconvergence of the consistency error, we prove the optimal error estimate of O(h) for both the displacement and stress. |
| 资助项目 | NSFC[10626005] ; NSFC[10601003] ; A Foundation[200718] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars ; State Education Ministry ; National Basic Research Program of China[2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000262616500003 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8434]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Man, Hong-Ying |
| 作者单位 | 1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Peking Univ, LMAM, Beijing 100871, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Man, Hong-Ying,Hu, Jun,Shi, Zhong-Ci. LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2009,19(1):51-65. |
| APA | Man, Hong-Ying,Hu, Jun,&Shi, Zhong-Ci.(2009).LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,19(1),51-65. |
| MLA | Man, Hong-Ying,et al."LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 19.1(2009):51-65. |
入库方式： OAI收割
来源：数学与系统科学研究院
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