The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains

	The hole-filling method and the uniform multiscale computation of the elastic equations in perforated domains
	Wang, X.; Cao, L.
	2008
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	5 期号:4 页码:612-634
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.
关键词	homogenization multiscale analysis elastic equations perforated domain hole-filling method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000258036400005
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6724
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.