Sibirskii Zhurnal Industrial'noi Matematiki
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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 2, Pages 128–138 (Mi sjim732)  
An iterative method for finding solutions to problems of heat conduction and diffusion of particles with discontinuous coefficients of the differential operator of the problem

V. V. Smelov

Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia
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Abstract: We propose an iterative method for the implementation of highly accurate approximate piecewise smooth solutions to practical problems of heat transfer, diffusion of elementary particles (in particular, neutrons in a nuclear reactor) in multilayer constructions. We create a practical algorithm basing on two theorems.
Keywords: problem with elliptic operator, discontinuous coefficients, piecewise-smooth basis functions, rapidly convergent series, minimization of a quadratic functional.
Received: 07.12.2011
Bibliographic databases:
Document Type: Article
UDC: 518.12+519.34
Language: Russian
Citation: V. V. Smelov, “An iterative method for finding solutions to problems of heat conduction and diffusion of particles with discontinuous coefficients of the differential operator of the problem”, Sib. Zh. Ind. Mat., 15:2 (2012), 128–138
Citation in format AMSBIB
\Bibitem{Sme12}
\by V.~V.~Smelov
\paper An iterative method for finding solutions to problems of heat conduction and diffusion of particles with discontinuous coefficients of the differential operator of the problem
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 2
\pages 128--138
\mathnet{http://mi.mathnet.ru/sjim732}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099841}
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    		Сибирский журнал индустриальной математики
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