The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains
文献类型：期刊论文
| 作者 | Wang, X.; Cao, L.
|
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2008 |
| 卷号 | 5期号:4页码:612-634 |
| 关键词 | homogenization multiscale analysis elastic equations perforated domain hole-filling method |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, we discuss the boundary value problem for the linear elastic equations in a perforated domain Omega(epsilon). We fill all holes with a very compliant material, then we study the homogenization method and the multiscale analysis for the associated multiphase problem in a domain Omega without holes. We are interested in the asymptotic behavior of the solution for the multiphase problem as the material properties of one weak phase go to zero, which has a wide range of applications in shape optimization and in 3-D mesh generation. The main contribution obtained in this paper is to give a full mathematical justification for this limiting process in general senses. Finally, some numerical results are presented, which support strongly the theoretical results of this paper. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258036400005 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6723]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Wang, X. |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, X.,Cao, L.. The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2008,5(4):612-634. |
| APA | Wang, X.,&Cao, L..(2008).The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,5(4),612-634. |
| MLA | Wang, X.,et al."The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 5.4(2008):612-634. |
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。