Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues
文献类型：期刊论文
| 作者 | Dai, Xiaoying ; He, Lianhua; Zhou, Aihui
|
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2015-10-01 |
| 卷号 | 35期号:4页码:1934-1977 |
| 关键词 | adaptive finite element a posteriori error estimator convergence rate complexity multiple eigenvalue |
| ISSN号 | 0272-4979 |
| DOI | 10.1093/imanum/dru059 |
| 英文摘要 | In this paper, we study an adaptive finite element for multiple eigenvalues of second order elliptic partial differential equations. We obtain both the asymptotic contraction property and asymptotic quasi-optimal complexity of the adaptive finite element approximations, which are extensions of the existing relevant results for simple eigenvalues. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000362826000017 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21013]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dai, Xiaoying |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Xiaoying,He, Lianhua,Zhou, Aihui. Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2015,35(4):1934-1977. |
| APA | Dai, Xiaoying,He, Lianhua,&Zhou, Aihui.(2015).Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues.IMA JOURNAL OF NUMERICAL ANALYSIS,35(4),1934-1977. |
| MLA | Dai, Xiaoying,et al."Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues".IMA JOURNAL OF NUMERICAL ANALYSIS 35.4(2015):1934-1977. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。