The hole-filling method and the multiscale computation for the wave equations in perforated domains

doi:10.1016/j.camwa.2015.07.009

	The hole-filling method and the multiscale computation for the wave equations in perforated domains
	Dong, Qiaoli 1; Cao, Liqun2
	2015-10-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	70 期号:8 页码:1743-1756
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.
关键词	Wave equation Hole-filling method Homogenization Multiscale asymptotic method Finite element method A perforated domain
DOI	10.1016/j.camwa.2015.07.009
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000362611000002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20920
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.