Publications
| Titre : | Finite Element Heterogeneous Multiscale Method for the Classical Helmholtz Equation |
| Année : | 2014 |
| Type : | article (revue avec comité de lecture) |
| Auteurs : | P. Ciarlet, C. Stohrer |
| Résumé : | We show that standard Finite Element Heterogeneous Multiscale Method (FE-HMM) can be used to approximate the effective behavior of solutions of the classical Helmholtz equation in highly oscillatory media. Using a novel combination of well known results about FE-HMM and the notion of T -coercivity we derive an a priori error bound. Numerical experiments corroborate the analytical findings. |
| Thèmes : |
Modèles asymptotiques Ondes harmoniques |
| Référence : |
C. R. Acad. Sci. Paris, Ser. I - vol. 352 (pp 755-760 )   |
