| HAL: hal-00637493, version 1 |
| arXiv: 1110.5206 |
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| Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems |
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| Claude Le Bris 1, 2Frédéric Legoll 2, 3 |
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| (2011-10-24) |
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| We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation with random coefficients that are a perturbation of periodic coefficients. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
| Ecole des Ponts ParisTech | |
| 2: | MICMAC (INRIA Paris - Rocquencourt) |
| Ecole des Ponts ParisTech – INRIA | |
| 3: | Laboratoire Navier |
| Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR | |
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| Multi-échelle |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Fulltext link: |
| hal-00637493, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00637493 | |
| oai:hal.archives-ouvertes.fr:hal-00637493 | |
| From: Frederic Legoll | |
| Submitted on: Wednesday, 2 November 2011 10:45:22 | |
| Updated on: Thursday, 3 November 2011 11:08:13 | |