15 citations · 22 across the 3 of their papers we have counts for
3 papers
math.AP2019★ 1 cited
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…
math.AP2019★ 6 cited
Local precised approximation in multiscale problems with local defects
Xavier Blanc, Marc Josien, Claude Le Bris
We proceed here with our systematic study, initiated in [3], of multiscale problems with defects, within the context of homogenization theory. The case under consideration here is…
math.AP2018★ 15 cited
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^…