Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains (Q941613)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains |
scientific article; zbMATH DE number 5318787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains |
scientific article; zbMATH DE number 5318787 |
Statements
Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains (English)
0 references
1 September 2008
0 references
Elliptic eigenvalue problems with the mixed boundary in a perforated domain are studied. The higher-order asymptotic expansion of the eigenvalues and the eigenfunctions for the problem are presented. A rigorous justification of the convergence results is derived. From this, a multiscale finite element method and some numerical examples are presented.
0 references
homogenization
0 references
asymptotic expansion
0 references
elliptic eigenvalue problem
0 references
perforated domain
0 references
finite element method
0 references
0 references
0 references
0 references
0.9177218
0 references
0.9166307
0 references
0.9091389
0 references
0.90508115
0 references
0.8974219
0 references
0 references
0.8914783
0 references
0.89081645
0 references
