Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme
文献类型：期刊论文
| 作者 | Chen, Wei; Lin, Qun
|
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2007-07-01 |
| 卷号 | 27期号:1页码:95-106 |
| 关键词 | eigenvalue problem biharmonic equation Ciarlet-Raviart scheme asymptotic expansion extrapolation a posteriori error estimate |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-007-9031-x |
| 英文摘要 | We propose and analyze the Ciarlet-Raviart mixed scheme for solving the biharmonic eigenvalue problem with bilinear finite elements. We derive a higher order convergence rate for eigenvalue and eigenfunction approximations. Furthermore, we give an asymptotic expansion of the eigenvalue error, from which an efficient extrapolation and an a posteriori error estimate for the eigenvalue are given. Finally, numerical experiments illustrating the theoretical results are reported. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247383500005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5134]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | 1.Shandong Univ, Sch Econ, Jinan 250100, Peoples R China 2.Acad Sinica, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Wei,Lin, Qun. Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2007,27(1):95-106. |
| APA | Chen, Wei,&Lin, Qun.(2007).Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme.ADVANCES IN COMPUTATIONAL MATHEMATICS,27(1),95-106. |
| MLA | Chen, Wei,et al."Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme".ADVANCES IN COMPUTATIONAL MATHEMATICS 27.1(2007):95-106. |
入库方式： OAI收割
来源：数学与系统科学研究院
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