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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 |
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| Authors: | Li-Qun?Cao author-information" > author-information__contact u-icon-before" > mailto:clq@lsec.cc.ac.cn" title=" clq@lsec.cc.ac.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Jun-Zhi?Cui |
| Affiliation: | (1) Institute of Computational Mathematics and Science-Engineering Computing, The Academy of Mathematics and System Sciences, The Chinese Academy of Sciences, P.O.Box 2719, Beijing, 100080, P.R.China;(2) Institute of Computational Mathematics and Science-Engineering Computing, The Academy of Mathematics and System Sciences, The Chinese Academy of Sciences, P.O.Box 2719, Beijing, 100080, P.R.China |
| Abstract: | Summary. 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. Mathematics Subject Classification (2000): 65F10, 35P15This work is Supported by National Natural Science Foundation of China (grant # 19932030) and Special Funds for Major State Basic Research Projects (grant # TG2000067102) |
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