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, 4)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 MICMAC - Methods and engineering of multiscale computing from atom to continuum
3 multi-échelle - Modélisation et expérimentation multi-échelle pour les solides hétérogènes
4 navier umr 8205 - Laboratoire Navier

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.

Domaines: Equations aux dérivées partielles [math.AP]

Claude Le Bris, Frédéric Legoll, Florian Thomines. Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems. Asymptotic Analysis, 2012, 80 (3-4), pp.237-267. ⟨hal-00637493⟩