Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains

doi:10.1007/s00211-003-0468-7

	Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
	Cao, LQ; Cui, JZ
	2004
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	96 期号:3 页码:525-581
摘要	In this paper, we study the spectral properties of Dirichlet problems for second order elliptic equation with rapidly oscillating coefficients in a perforated domain. The asymptotic expansions of eigenvalues and eigenfunctions for this kind of problem are obtained, and the multiscale finite element algorithms and numerical results are proposed.
DOI	10.1007/s00211-003-0468-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000188113700005
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19394
专题	计算数学与科学工程计算研究所
通讯作者	Cao, LQ
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cao, LQ,Cui, JZ. Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains[J]. NUMERISCHE MATHEMATIK,2004,96(3):525-581.
APA	Cao, LQ,&Cui, JZ.(2004).Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains.NUMERISCHE MATHEMATIK,96(3),525-581.
MLA	Cao, LQ,et al."Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains".NUMERISCHE MATHEMATIK 96.3(2004):525-581.