Boundary homogenization in domains with randomly oscillating boundary

Author:

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

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference41 articles.

1. Asymptotic approximation of the solution of the Laplace equation in a domain with highly oscillating boundary;Amirat;SIAM J. Math. Anal.,2004

2. Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operator in a domain with oscillating boundary;Amirat;Zh. Vychisl. Mat. Mat. Fiz.,2006

3. Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues;Amirat;Appl. Anal.,2007

4. Average of the third boundary-value problem for the Poisson equation in a domain with rapidly oscillating boundary;Belyaev;Vestnik Moskov. Univ. Ser. I Mat. Mekh.,1988

5. A.G. Belyaev, On singular perturbations of boundary-value problems, Ph.D. Thesis, Moscow State University, 1990 (in Russian).

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