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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2003, Volume 9, Number 1, Pages 137–142 (Mi timm267)  

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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 519.6:531.32
Language: English
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
Citation in format AMSBIB
\Bibitem{Pan03}
\by G.~Panasenko
\paper Method of asymptotic partial decomposition of domain and partial homogenization
\inbook Asymptotic expansions, approximation theory, topology
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2003
\vol 9
\issue 1
\pages 137--142
\mathnet{http://mi.mathnet.ru/timm267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2093441}
\zmath{https://zbmath.org/?q=an:1125.35316}
\elib{https://elibrary.ru/item.asp?id=12226587}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2003
\issue , suppl. 1
\pages S161--S167
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