The hole-filling method and the multiscale computation for the wave equations in perforated domains
文献类型：期刊论文
| 作者 | Dong, Qiaoli1; Cao, Liqun2
|
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2015-10-01 |
| 卷号 | 70期号:8页码:1743-1756 |
| 关键词 | Wave equation Hole-filling method Homogenization Multiscale asymptotic method Finite element method A perforated domain |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2015.07.009 |
| 英文摘要 | In this paper we discuss the multiscale computation of the wave equations with rapidly oscillating coefficients in a perforated domain. The hole-filling method through filling all holes with a very compliant material is introduced. As the material parameters of the weak phase go to zero, the proof of this limiting process is derived. Based on the above hole-filling method, the multiscale asymptotic method and the convergence results for the associated multiphase problem in a domain without holes are presented. The numerical experiments are carried out to validate the theoretical results. (C) 2015 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11126136] ; National Natural Science Foundation of China[11201476] ; National Natural Science Foundation of China[91330202] ; National Basic Research Program of China[2010CB832702] ; Funds for Creative Research Group of China[11321061] ; Fundamental Research Funds for the Central Universities[3122013D017] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000362611000002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20919]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Liqun |
| 作者单位 | 1.Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Qiaoli,Cao, Liqun. The hole-filling method and the multiscale computation for the wave equations in perforated domains[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2015,70(8):1743-1756. |
| APA | Dong, Qiaoli,&Cao, Liqun.(2015).The hole-filling method and the multiscale computation for the wave equations in perforated domains.COMPUTERS & MATHEMATICS WITH APPLICATIONS,70(8),1743-1756. |
| MLA | Dong, Qiaoli,et al."The hole-filling method and the multiscale computation for the wave equations in perforated domains".COMPUTERS & MATHEMATICS WITH APPLICATIONS 70.8(2015):1743-1756. |
入库方式： OAI收割
来源：数学与系统科学研究院
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