We investigate volume-element sampling strategies for the stochastic homogenization of
particle-reinforced composites and show, via computational experiments, that an improper …

We study the representative volume element (RVE) method, which is a method to
approximately infer the effective behavior a hom of a stationary random medium. The latter is …

The effective large-scale properties of materials with random heterogeneities on a small
scale are typically determined by the method of representative volumes: a sample of the …

This article is about the quantitative homogenization theory of linear elliptic equations in
divergence form with random coefficients. We derive gradient estimates on the …

Cette note présente deux nouvelles approches pour trouver les coefficients homogénéisés
des EDP elliptiques multi-échelles. Les approches standard pour calculer les coefficients …

This paper proposes a novel collocation-type numerical stochastic homogenization method
for prototypical stochastic homogenization problems with random coefficient fields of small …

We prove optimal quantitative estimates on the first-order correctors on supercritical
percolation clusters: we show that they are bounded in dimension larger than 3 and have …

This paper aims at an accurate and efficient computation of effective quantities, eg the
homogenized coefficients for approximating the solutions to partial differential equations …

Numerical multiscale methods usually rely on some coupling between a macroscopic and a
microscopic model. The macroscopic model is incomplete as effective quantities, such as …

We consider a class of interacting particle systems in continuous space of non-gradient type,
which are reversible with respect to Poisson point processes with constant density. For these …