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| HAL: hal-00140076, version 1 |
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| Stochastic homogenization and random lattices |
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| Xavier Blanc 1Claude Le Bris 2 |
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| (2007-04-03) |
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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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| Subject | : | Mathematics/Numerical Analysis |
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| hal-00140076, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00140076 | |
| oai:hal.archives-ouvertes.fr:hal-00140076 | |
| From: Christian David | |
| Submitted on: Wednesday, 4 April 2007 18:10:44 | |
| Updated on: Wednesday, 4 April 2007 21:11:42 | |
