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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2012 Volume 24, Number 8, Pages 109–120 (Mi mm3304)

This article is cited in 8 papers

Splitting schemes in mixed finite element method for a solution to heat transfer problem

K. V. Voronin, Y. M. Laevsky

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk

Abstract: A few numerical algorithms for a solution to the non-stationary heat transfer equations in terms “temperature — heat flow vector” are discussed. In other words, non-stationary problem in the mixed formulation is considered, and spatial approximation is implemented by the Mixed Finite Element Method. For the vector equation of the mesh heat flow a few splitting schemes are analyzed. Main attention is given to the comparison of an accuracy of the proposed schemes.

Keywords: splitting scheme, mixed finite element method, heat transfer, approximation, stability.

UDC: 519.63

Received: 10.11.2011


 English version:
Mathematical Models and Computer Simulations, 2013, 5:2, 167–174

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