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| HAL : hal-00140076, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Stochastic homogenization and random lattices |
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| Xavier Blanc 1Claude Le Bris 2 |
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| (03/04/2007) |
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| We present some variants of stochastic homogenization theory for scalar elliptic equations of the form -div[ A(x/ε,ω) ∇ u] = f. These variants basically consist in defining stochastic coefficients A(x/ε,ω) from stochastic deformations (using random diffeormorphisms) of the periodic setting, as announced in [4]. The settings we define are not covered by the existing theories. We also clarify the relation between this type of questions and our construction, performed in [3,5], of the energy of, both deterministic and stochastic, microscopic infinite sets of points in interaction. |
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| 1 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
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| 2 : | Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS) |
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INRIA – Ecole des Ponts ParisTech |
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| 3 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00140076, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00140076 | |
| oai:hal.archives-ouvertes.fr:hal-00140076 | |
| Contributeur : Christian David | |
| Soumis le : Mercredi 4 Avril 2007, 18:10:44 | |
| Dernière modification le : Mercredi 4 Avril 2007, 21:11:42 | |
