Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains

doi:10.1016/j.apnum.2007.07.009

	Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains
	Cao, Li-Qun1 ; Luo, Jian-Lan 2
	2008-09-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	58 期号:9 页码:1349-1374
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.
关键词	homogenization asymptotic expansion elliptic eigenvalue problems perforated domain finite element method
DOI	10.1016/j.apnum.2007.07.009
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000258750800008
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6308
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.