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Article Dans Une Revue Stochastic Processes and their Applications Année : 2011

Boundary homogenization in domains with randomly oscillating boundary

Résumé

We consider a model homogenization problem for the Poisson equation in a domain with a rapidly oscillating boundary which is a small random perturbation of a fixed hypersurface A Fourier boundary condition with random coefficients is imposed on the oscillating boundary We derive the effective boundary condition prove a convergence result and establish error estimates

Dates et versions

hal-00655382 , version 1 (28-12-2011)

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Youcef Amirat, Olivier Bodart, Gregory A. Chechkin, Andrey Piatnitski. Boundary homogenization in domains with randomly oscillating boundary. Stochastic Processes and their Applications, 2011, 121, pp.1-23. ⟨10.1016/j.spa.2010.08.011⟩. ⟨hal-00655382⟩
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