15 citations · 20 across the 6 of their papers we have counts for
8 papers · 1 filter
Bias in the representative volume element method: periodize the ensemble instead of its realizations
Nicolas Clozeau, Marc Josien, Felix Otto +1
We study the Representative Volume Element (RVE) method, which is a method to approximately infer the effective behavior of a stationary random medium. The latter…
Stochastic homogenization and geometric singularities : a study on corners
Marc Josien, Claudia Raithel, Mathias Schäffner
In this contribution we are interested in the quantitative homogenization properties of linear elliptic equations with homogeneous Dirichlet boundary data in polygonal domains with…
The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
Marc Josien, Felix Otto
This article is about the quantitative homogenization theory of linear elliptic equations in divergence form with random coefficients. We derive gradient estimates on the homogeniz…
Quantitative homogenization for the case of an interface between two heterogeneous media
Marc Josien, Claudia Raithel
In this article we are interested in quantitative homogenization results for linear elliptic equations in the non-stationary situation of a straight interface between two heterogen…
Precised approximations in elliptic homogenization beyond the periodic setting
Xavier Blanc, Marc Josien, Claude Le Bris
We consider homogenization problems for linear elliptic equations in divergence form. The coecients are assumed to be a local perturbation of some periodic background. We prove $W^…
Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients
Marc Josien
This article is about the -periodic Green function of the multiscale elliptic operator , where …