Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645887 | Applied Numerical Mathematics | 2008 | 26 Pages |
Abstract
In this paper, we study the elliptic eigenvalue problem with the mixed boundary in a perforated domain. The higher-order asymptotic expansions of the eigenvalues and the eigenfunctions for the problem will be presented. We derive the rigorous justification of the convergence results. From this, a multiscale finite element method and some numerical examples are presented.
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