Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods
文献类型：期刊论文
| 作者 | Jia, Shanghui1; Me, Hehu2; Yin, Xiaobo2; Gao, Shaoqin3 |
| 刊名 | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 24期号:2页码:435-448 |
| 关键词 | asymptotic expansions biharmonic eigenvalue problem extrapolation nonconforming finite element methods |
| ISSN号 | 0749-159X |
| DOI | 10.1002/num.20268 |
| 英文摘要 | In this paper, we analyze the biharmonic eigenvalue problem by two nonconforming finite elements, Q(1)(rot) and EQ(1)(rot). We obtain full order convergence rate of the eigenvalue approximations for the biharmonic eigenvalue problem based on asymptotic error expansions for these two nonconforming finite elements. Using the technique of eigenvalue error expansion, the technique of integral identities, and the extrapolation method, we can improve the accuracy of the eigenvalue approximations. (c) 2007 Wiley Periodicals, Inc. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253245200006 |
| 出版者 | JOHN WILEY & SONS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5510]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jia, Shanghui |
| 作者单位 | 1.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.CAS, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100081, Peoples R China 3.Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia, Shanghui,Me, Hehu,Yin, Xiaobo,et al. Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2008,24(2):435-448. |
| APA | Jia, Shanghui,Me, Hehu,Yin, Xiaobo,&Gao, Shaoqin.(2008).Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,24(2),435-448. |
| MLA | Jia, Shanghui,et al."Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 24.2(2008):435-448. |
入库方式： OAI收割
来源：数学与系统科学研究院
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