Geodesic
Energy method for mathematical modeling of heat transfer in 2-D flow
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 431-442

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A multigrid finite element method for 2-D convection-heat transfer problem is proposed. The method is based on minimization of the energy functional. Effectiveness of the method is demonstrated by calculation of temperature distribution in a microchip that separates living cells from fluid stream by electrophoresis.
Keywords: mathematical modeling, energy method, elliptical equation, nonsymmetric operator, electrophoresis. 
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     author = {Valery V. Denisenko},
     title = {Energy method for mathematical modeling of heat transfer in {2-D} flow},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {431--442},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a2/}
}
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Valery V. Denisenko. Energy method for mathematical modeling of heat transfer in 2-D flow. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 4, pp. 431-442. http://geodesic.mathdoc.fr/item/JSFU_2014_7_4_a2/