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A numerical approach related to defect-type theories for some weakly random problems in homogenization

Arnaud Anantharaman , Claude Le Bris
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2011, 9 (2), pp.513-544. ⟨10.1137/10079639X⟩
Journal articles hal-00487759v1
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On Kohn-Sham models with LDA and GGA exchange-correlation functionals

Arnaud Anantharaman , Eric Cancès
Preprints, Working Papers, ... inria-00325660v1

Homogénéisation d'un matériau périodique faiblement perturbé aléatoirement (Homogenization of a weakly randomly perturbed periodic material)

Arnaud Anantharaman , Claude Le Bris
Comptes Rendus. Mathématique, 2010, 348 (9-10), pp.529-534. ⟨10.1016/j.crma.2010.03.001⟩
Journal articles hal-00625247v1

Elements of mathematical foundations for a numerical approach for weakly random homogenization problems

Arnaud Anantharaman , Claude Le Bris
Communications in Computational Physics, 2012, 11 (4), pp.1103-1143. ⟨10.4208/cicp.030610.010411s⟩
Journal articles hal-00487762v1

Introduction to numerical stochastic homogenization and the related computational challenges: some recent developments

Arnaud Anantharaman , Ronan Costaouec , Claude Le Bris , Frédéric Legoll , Florian Thomines
Weizhu Bao and Qiang Du. Multiscale modeling and analysis for materials simulation, World Scientific, 2011, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore ; vol. 22
Book sections hal-00624354v1