English

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

Analysis of PDEs 2011-10-25 v1

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

Cite

@article{arxiv.1110.5206,
  title  = {Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems},
  author = {C. Le Bris and F. Legoll and F. Thomines},
  journal= {arXiv preprint arXiv:1110.5206},
  year   = {2011}
}