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Matematicheskoe modelirovanie, 2012, Volume 24, Number 8, Pages 109–120 (Mi mm3304)  
This article is cited in 8 scientific papers (total 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
Full-text PDF (293 kB) Citations (8)
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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.
Received: 10.11.2011
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 2, Pages 167–174
DOI: https://doi.org/10.1134/S2070048213020105
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: K. V. Voronin, Y. M. Laevsky, “Splitting schemes in mixed finite element method for a solution to heat transfer problem”, Matem. Mod., 24:8 (2012), 109–120; Math. Models Comput. Simul., 5:2 (2013), 167–174
Citation in format AMSBIB
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\by K.~V.~Voronin, Y.~M.~Laevsky
\paper Splitting schemes in mixed finite element method for a solution to heat transfer problem
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 8
\pages 109--120
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\elib{https://elibrary.ru/item.asp?id=21276785}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 2
\pages 167--174
\crossref{https://doi.org/10.1134/S2070048213020105}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84886434353}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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