Geodesic
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
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 128-138

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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. 
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     author = {V. V. Smelov},
     title = {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},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {128--138},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a12/}
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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. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 128-138. http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a12/