Geodesic
Method of asymptotic partial decomposition of domain and partial homogenization
Trudy Instituta matematiki i mehaniki, Asymptotic expansions, approximation theory, topology, Tome 9 (2003) no. 1, pp. 137-142 Cet article a éte moissonné depuis la source Math-Net.Ru

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Application of the method of asymptotic partial decomposition of domain to the following two singularly perturbed boundary value problems is considered. The first one is a boundary value problem for a Poisson equation on a narrow rectangle with the Dirichlet boundary conditions on its smaller sides and the Neumann conditions on the others. The second is a Dirichlet problem in a layer for elliptic operator with coefficients rapidly oscillating with respect to the cross variable. 
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G. Panasenko. Method of asymptotic partial decomposition of domain and partial homogenization. Trudy Instituta matematiki i mehaniki, Asymptotic expansions, approximation theory, topology, Tome 9 (2003) no. 1, pp. 137-142. http://geodesic.mathdoc.fr/item/TIMM_2003_9_1_a16/

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