Abstract
The periodic unfolding method was introduced in 2002 in [Cioranescu, Damlamian, and Griso, C.R. Acad. Sci. Paris, Ser. 1, 335 (2002), pp. 99–104] (with the basic proofs in [Proceedings of the Narvi...
Highlights
The notion of two-scale convergence was introduced in 1989 by Nguetseng in [58], further developed by Allaire in [1] and by Lukkassen, Nguetseng, and Wall in [55] with applications to periodic homogenization
It was generalized to some multiscale problems by Ene and Saint Jean Paulin in [38], Allaire and Briane in [2], Lions et al in [52] and Lukkassen, Nguetseng, and Wall in [55]
In [24], we expanded on this idea and presented a general and quite simple approach for classical or multiscale periodic homogenization, under the name of “unfolding method.”
Summary
To cite this version: Doina Cioranescu, Alain Damlamian, Georges Griso. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2008, 40 (4), pp.1585-1620. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés
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