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On splitting schemes in the mixed finite element method

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Abstract

Within the research into some geothermal modes, a 3D heat transfer process was described by a first-order system of differential equations (in terms of “temperature-heat-flow”). This system was solved by an explicit scheme for the mixed finite element spatial approximations based on the Raviart-Thomas degrees of freedom. In this paper, several algorithms based on the splitting technique for the vector heat-flow equation are proposed. Some comparison results of accuracy of the algorithms proposed are presented.

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References

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Authors and Affiliations

  1. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    K. V. Voronin & Yu. M. Laevsky

  2. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    Yu. M. Laevsky

Authors
  1. K. V. Voronin
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  2. Yu. M. Laevsky
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Correspondence to K. V. Voronin.

Additional information

Original Russian Text © K.V. Voronin, Yu.M. Laevsky, 2012, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2012, Vol. 15, No. 2, pp. 183–189.

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Voronin, K.V., Laevsky, Y.M. On splitting schemes in the mixed finite element method. Numer. Analys. Appl. 5, 150–155 (2012). https://doi.org/10.1134/S1995423912020085

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  • DOI: https://doi.org/10.1134/S1995423912020085

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