Rate of convergence of a two-scale expansion for some “weakly” stochastic homogenization problems

Article type: Research Article

Authors: Le Bris, Claude | Legoll, Frédéric^; | Thomines, Florian

Affiliations: École Nationale des Ponts et Chaussées, Marne-La-Vallée, France and INRIA Rocquencourt, MICMAC Team-Project, Le Chesnay, France

Note: [] Corresponding author: Frédéric Legoll, Laboratoire Navier, Ecole Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, 77455 Marne-La-Vallée Cedex 2, France. Tel.: +33 1 64 15 37 81; Fax: +33 1 64 15 37 41; E-mail: [email protected].

Abstract: 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.

Keywords: weakly stochastic homogenization, two-scale expansion

DOI: 10.3233/ASY-2012-1114

Journal: Asymptotic Analysis, vol. 80, no. 3-4, pp. 237-267, 2012