Gamma-convergence and H-convergence of linear elliptic operators

摘要

We consider a sequence of linear Dirichlet problems as follows {-div(sigma(epsilon)del mu(epsilon)) = f in Omega, mu(epsilon) is an element of H-0(1)(Omega), with (sigma(epsilon)) uniformly elliptic and possibly non-symmetric. Using purely variational arguments we give an alternative proof of the compactness of H-convergence, originally proved by Murat and Tartar. (C) 2012 Elsevier Masson SAS. All rights reserved.