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A finite element method for elliptic problems with rapidly oscillating coefficients
He, Wen-Ming; Cui, Jun-Zhi
2007-03-01
Source PublicationBIT NUMERICAL MATHEMATICS
ISSN0006-3835
Volume47Issue:1Pages:77-102
AbstractIn this paper, we consider solving second-order elliptic problems with rapidly oscillating coefficients. Under the assumption that the oscillating coefficients are periodic, on the basis of classical homogenization theory, we present a finite element method whose key is to combine a numerical approximation of the 1-order approximate solution of those equations and a numerical approximation of the classical boundary corrector of those equations from different meshes exploiting the need for different levels of resolution. Numerical experiments are included to illustrate the competitive behavior of the proposed finite element method.
Keywordsecond-order elliptic equations with rapidly oscillating coefficients homogenization theory finite element method
DOI10.1007/s10543-007-0117-0
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000244887900005
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4812
Collection计算数学与科学工程计算研究所
Corresponding AuthorHe, Wen-Ming
Affiliation1.Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China
2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
He, Wen-Ming,Cui, Jun-Zhi. A finite element method for elliptic problems with rapidly oscillating coefficients[J]. BIT NUMERICAL MATHEMATICS,2007,47(1):77-102.
APA He, Wen-Ming,&Cui, Jun-Zhi.(2007).A finite element method for elliptic problems with rapidly oscillating coefficients.BIT NUMERICAL MATHEMATICS,47(1),77-102.
MLA He, Wen-Ming,et al."A finite element method for elliptic problems with rapidly oscillating coefficients".BIT NUMERICAL MATHEMATICS 47.1(2007):77-102.
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