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1. Random Dirichlet problem: Scalar darcy's law.

Author

Chabi, E. and Michaille, G.

Abstract

Using Ergodic Theory and Epiconvergence notion, we study the rate of convergence of solutions relative to random Dirichlet problems in domains of R with random holes whose size tends to 0. This stochastic analysis allows to extend the results already obtained in the corresponding periodic case. [ABSTRACT FROM AUTHOR]

Published
1995
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2. Ergodic theory and appication to nonconvex homogenization.

Author

Chabi, E. and Michaille, G.

Abstract

We establish some ergodic theorems with the view to obtaining a convergence result of sequences of random Radon measures. We also give an application in stochastic homogenization of nonconvex integral functionals. [ABSTRACT FROM AUTHOR]

Published
1994
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