Boundary homogenization in domains with randomly oscillating boundary

Youcef Amirat, Olivier Bodart, Gregory A. Chechkin and Andrey L. Piatnitski

Stochastic Processes and their Applications, 2011, vol. 121, issue 1, 1-23

Abstract: 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.

Keywords: Boundary; homogenization; Random; oscillating; boundary; Effective; boundary; condition (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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