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

被引：1

作者：

Li-Qun Cao

Jun-Zhi Cui

机构：

[1] The Chinese Academy of Sciences,Institute of Computational Mathematics and Science

[2] The Chinese Academy of Sciences,Engineering Computing, The Academy of Mathematics and System Sciences

来源：

Numerische Mathematik | 2004年 / 96卷

关键词：

Asymptotic Expansion; Elliptic Equation; Spectral Property; Dirichlet Problem; Numerical Algorithm;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：525 / 581

页数：56

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