IECL - Institut Élie Cartan de Lorraine (Université de Lorraine, Boulevard des Aiguillettes BP 70239 54506 Vandoeuvre-les-Nancy Cedex
Ile du Saulcy - 57 045 Metz Cedex 01 - France)
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.
https://hal.inria.fr/hal-01283631
Contributeur : Renata Bunoiu
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Soumis le : samedi 5 mars 2016 - 20:05:15
Dernière modification le : dimanche 25 février 2018 - 14:48:02
Renata Bunoiu, Giuseppe Cardone, Tatiana Suslina. Spectral approach to homogenization of an elliptic operator periodic in some directions. Mathematical Methods in Applied Sciences, 2011, 34 (9), pp.1075-1096. 〈10.1002/mma.1424〉. 〈hal-01283631〉
