Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains
文献类型：期刊论文
| 作者 | Cao, Li-Qun1 ; Luo, Jian-Lan2
|
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2008-09-01 |
| 卷号 | 58期号:9页码:1349-1374 |
| 关键词 | homogenization asymptotic expansion elliptic eigenvalue problems perforated domain finite element method |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2007.07.009 |
| 英文摘要 | In this paper, we study the elliptic eigenvalue problem with the mixed boundary in a perforated dornain. The higher-order asymptotic expansions of the eigenvalues and the eigenfunctions for the problem will be presented. We derive the rigorous justification of the convergence results. From this, a multiscale finite element method and some numerical examples are presented. (c) 2007 IMACS. Published by Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258750800008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6307]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Li-Qun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Beijing Univ Aeronaut & Astronaut, Dept Appl Phys, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Li-Qun,Luo, Jian-Lan. Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains[J]. APPLIED NUMERICAL MATHEMATICS,2008,58(9):1349-1374. |
| APA | Cao, Li-Qun,&Luo, Jian-Lan.(2008).Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains.APPLIED NUMERICAL MATHEMATICS,58(9),1349-1374. |
| MLA | Cao, Li-Qun,et al."Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains".APPLIED NUMERICAL MATHEMATICS 58.9(2008):1349-1374. |
入库方式： OAI收割
来源：数学与系统科学研究院
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