A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation
文献类型：期刊论文
| 作者 | Zhang, Shuo ; Xi, Yingxia; Ji, Xia
|
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2018-06-01 |
| 卷号 | 75期号:3页码:1415-1444 |
| 关键词 | Eigenvalue problem Multi-level mixed element method Biharmonic equation |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-017-0592-7 |
| 英文摘要 | In this paper, we discuss approximating the eigenvalue problem of biharmonic equation. We first present an equivalent mixed formulation which admits natural nested discretization. Then, we present multi-level finite element schemes by implementing the algorithm as in Lin and Xie (Math Comput 84:71-88, 2015) to the nested discretizations on a series of nested grids. The multi-level mixed scheme for the biharmonic eigenvalue problem possesses optimal convergence rate and optimal computational cost. Both theoretical analysis and numerical verifications are presented. |
| 资助项目 | National Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000431399600009 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30244]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ji, Xia |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC,NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Shuo,Xi, Yingxia,Ji, Xia. A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2018,75(3):1415-1444. |
| APA | Zhang, Shuo,Xi, Yingxia,&Ji, Xia.(2018).A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation.JOURNAL OF SCIENTIFIC COMPUTING,75(3),1415-1444. |
| MLA | Zhang, Shuo,et al."A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation".JOURNAL OF SCIENTIFIC COMPUTING 75.3(2018):1415-1444. |
入库方式： OAI收割
来源：数学与系统科学研究院
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