Spectral approach to homogenization of an elliptic operator periodic in some directions

Abstract : We study a homogenization problem for a family of elliptic differential operators whose coefficients are periodic in one direction. We use the spectral approach and we prove a norm convergence result for the generalized resolvent of the operator under study. The main tools used are the Floquet-Bloch decomposition and the perturbation theory.
Type de document :
Article dans une revue
Mathematical Methods in the Applied Sciences, Wiley, 2011, 34 (9), pp.1075-1096. 〈10.1002/mma.1424〉
Liste complète des métadonnées

https://hal.inria.fr/hal-01283631
Contributeur : Renata Bunoiu <>
Soumis le : samedi 5 mars 2016 - 20:05:15
Dernière modification le : mardi 3 juillet 2018 - 13:00:03

Lien texte intégral

Identifiants

Collections

Citation

Renata Bunoiu, Giuseppe Cardone, Tatiana Suslina. Spectral approach to homogenization of an elliptic operator periodic in some directions. Mathematical Methods in the Applied Sciences, Wiley, 2011, 34 (9), pp.1075-1096. 〈10.1002/mma.1424〉. 〈hal-01283631〉

Partager

Métriques

Consultations de la notice

72