Periodic unfolding and Robin problems in perforated domains |
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| Authors: | Doina Cioranescu Patrizia Donato Rachad Zaki |
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| Institution: | 1. Université Pierre et Marie Curie (Paris VI), Laboratoire Jacques-Louis Lions, Case 187, 4, Place Jussieu, 75252 Paris Cedex 05, France;2. Université de Rouen, Département de Mathématiques, avenue de l''Université, BP 12, 76801 Saint Etienne de Rouvray, France |
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| Abstract: | 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. To cite this article: D. Cioranescu et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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