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

Renata Bunoiu 1 Giuseppe Cardone 2 Tatiana Suslina 3
1 EDP - Equations aux dérivées partielles
IECL - Institut Élie Cartan de Lorraine
2 Dipartimento di Ingegneria [Benevento]
3 SPbU - St Petersburg State University
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.
Keywords : spectral theory homogenization error estimates Floquet–Bloch decomposition perturbation theory
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Article dans une revue
Mathematical Methods in the Applied Sciences, Wiley, 2011, 34 (9), pp.1075-1096. 〈10.1002/mma.1424〉
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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

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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〉

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