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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2003, Volume 9, Number 1, Pages 137–142
(Mi timm267)
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Method of asymptotic partial decomposition of domain and partial homogenization
G. Panasenko University Jean Monnet, Equipe d'Analyse Numérique, St-Etienne, and Laboratoire de Modélisation en Mécanique, CNRS UMR, Université Pierre et Marie Curie-Paris 6, France
Abstract:
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.
Received: 30.10.2002
Citation:
G. Panasenko, “Method of asymptotic partial decomposition of domain and partial homogenization”, Asymptotic expansions, approximation theory, topology, Trudy Inst. Mat. i Mekh. UrO RAN, 9, no. 1, 2003, 137–142; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S161–S167
Linking options:
https://www.mathnet.ru/eng/timm267 https://www.mathnet.ru/eng/timm/v9/i1/p137
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