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Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems
Claude Le Bris 1, 2, Frédéric Legoll 2, 3, Florian Thomines 2, 3
(2011-10-24)

We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation with random coefficients that are a perturbation of periodic coefficients.
1:  Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS)
Ecole des Ponts ParisTech
2:  MICMAC (INRIA Paris - Rocquencourt)
Ecole des Ponts ParisTech – INRIA
3:  Laboratoire Navier
Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR
Multi-échelle
Mathematics/Analysis of PDEs
Fulltext link: 
http://fr.arXiv.org/abs/1110.5206