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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
Source PublicationNUMERISCHE MATHEMATIK
ISSN0029-599X
Volume96Issue:3Pages:525-581
AbstractIn 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.
DOI10.1007/s00211-003-0468-7
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000188113700005
PublisherSPRINGER-VERLAG
Citation statistics
Cited Times:59[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19394
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
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.
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