HOMOGENIZATION OF THE SPECTRAL EQUATION IN ONE DIMENSION
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | HOMOGENIZATION OF THE SPECTRAL EQUATION IN ONE DIMENSION |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Nguyen TTrang, Lenczner M, Brassart M |
| Journal | INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING |
| Volume | 12 |
| Pagination | 423-450 |
| Type of Article | Article |
| ISSN | 1543-1649 |
| Mots-clés | Bloch waves, homogenization, spectral problem, two-scale transform |
| Résumé | The asymptotic behavior of a one-dimensional spectral problem with periodic coefficient is addressed for high-frequency modes by a method of Bloch wave homogenization. The analysis leads to a spectral problem including both microscopic and macroscopic eigenmodes. Numerical simulation results are provided to corroborate the theory. |
| DOI | 10.1615/IntJMultCompEng.2014010826 |