Dans cette Note nous adaptons la méthode d'éclatement périodique introduite par D. Cioranescu et al. en 2002 aux domaines perforés. Afin d'étudier des problèmes non homogènes, nous introduisons un opérateur d'éclatement frontière. Les résultats sont ensuite appliqués à l'homogénéisation de quelques problèmes elliptiques avec une condition du type Fourier sur le bord des trous.
The periodic unfolding method was introduced in 2002 by D. Cioranescu et al. for the study of classical periodic homogenization. In this Note, we extend this method to perforated domains introducing also a boundary unfolding operator. As an application, we study the homogenization of some elliptic problems with Robin condition on the boundary of the holes.
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@article{CRMATH_2006__342_7_469_0, author = {Cioranescu, Doina and Donato, Patrizia and Zaki, Rachad}, title = {Periodic unfolding and {Robin} problems in perforated domains}, journal = {Comptes Rendus. Math\'ematique}, pages = {469--474}, publisher = {Elsevier}, volume = {342}, number = {7}, year = {2006}, doi = {10.1016/j.crma.2006.01.028}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.01.028/} }
TY - JOUR AU - Cioranescu, Doina AU - Donato, Patrizia AU - Zaki, Rachad TI - Periodic unfolding and Robin problems in perforated domains JO - Comptes Rendus. Mathématique PY - 2006 SP - 469 EP - 474 VL - 342 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.01.028/ DO - 10.1016/j.crma.2006.01.028 LA - en ID - CRMATH_2006__342_7_469_0 ER -
%0 Journal Article %A Cioranescu, Doina %A Donato, Patrizia %A Zaki, Rachad %T Periodic unfolding and Robin problems in perforated domains %J Comptes Rendus. Mathématique %D 2006 %P 469-474 %V 342 %N 7 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.01.028/ %R 10.1016/j.crma.2006.01.028 %G en %F CRMATH_2006__342_7_469_0
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad. Periodic unfolding and Robin problems in perforated domains. Comptes Rendus. Mathématique, Tome 342 (2006) no. 7, pp. 469-474. doi : 10.1016/j.crma.2006.01.028. http://archive.numdam.org/articles/10.1016/j.crma.2006.01.028/
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