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

Arnaud Anantharaman (1, 2) , Ronan Costaouec (1, 2) , Claude Le Bris (1, 2) , Frédéric Legoll (1, 3) , Florian Thomines (3)

1 MICMAC - Methods and engineering of multiscale computing from atom to continuum
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 multi-échelle - Modélisation et expérimentation multi-échelle pour les solides hétérogènes

Domaines: Analyse numérique [math.NA]

Arnaud Anantharaman, Ronan Costaouec, Claude Le Bris, Frédéric Legoll, Florian Thomines. Introduction to numerical stochastic homogenization and the related computational challenges: some recent developments. 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. ⟨hal-00624354⟩