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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 183–189 (Mi sjvm469)  
This article is cited in 7 scientific papers (total in 7 papers)

On splitting schemes in the mixed finite element method

K. V. Voronina, Yu. M. Laevskyab

a Novosibirsk State University, Novosibirsk
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (173 kB) Citations (7)
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Abstract: Within the research into some geothermal modes, a 3D heat transfer process was described by the 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, a few 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.
Key words: heat transfer, mixed formulation, finite element method, splitting scheme.
Received: 06.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 150–155
DOI: https://doi.org/10.1134/S1995423912020085
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: K. V. Voronin, Yu. M. Laevsky, “On splitting schemes in the mixed finite element method”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 183–189; Num. Anal. Appl., 5:2 (2012), 150–155
Citation in format AMSBIB
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\by K.~V.~Voronin, Yu.~M.~Laevsky
\paper On splitting schemes in the mixed finite element method
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 183--189
\mathnet{http://mi.mathnet.ru/sjvm469}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 150--155
\crossref{https://doi.org/10.1134/S1995423912020085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862137788}
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  • https://www.mathnet.ru/eng/sjvm469
  • https://www.mathnet.ru/eng/sjvm/v15/i2/p183
    • This publication is cited in the following 7 articles:
    1. K. V. Voronin, Yu. M. Laevsky, “The flux predictor-corrector scheme for solving a 3D heat transfer problem”, Num. Anal. Appl., 10:4 (2017), 287–298  mathnet  crossref  crossref  elib
    2. K. Voronin, Yu. Laevsky, “A new approach to constructing vector splitting schemes in mixed finite element method for parabolic problems”, J. Numer. Math., 25:1 (2017), 17–34  crossref  mathscinet  zmath  isi  scopus
    3. K. V. Voronin, Yu. M. Laevsky, “A Flux Predictor–Corrector Scheme for Solving a 3D Heat Transfer Problem”, Numer. Analys. Appl., 10:4 (2017), 287  crossref
    4. Voronin K., Laevsky Yu., “A New Approach To Constructing Splitting Schemes in Mixed Fem For Heat Transfer: a Priori Estimates”, Finite Difference Methods, Theory and Applications, Lecture Notes in Computer Science, 9045, eds. Dimov I., Farago I., Vulkov L., Springer-Verlag Berlin, 2015, 417–425  crossref  mathscinet  zmath  isi  scopus
    5. K. V. Voronin, “Numerical study of MPI/OpenMP implementation with postman threads for a three-dimensional splitting scheme in heat transfer problems”, J. Appl. Industr. Math., 8:3 (2014), 436–443  mathnet  crossref  mathscinet
    6. K. V. Voronin, Yu. M. Laevskii, “Ob odnom podkhode k postroeniyu potokovykh skhem rasschepleniya v smeshannom metode konechnykh elementov”, Matem. modelirovanie, 26:12 (2014), 33–47  mathnet  elib
    7. Vernikovskaya A.E., Datsenko V.M., Vernikovskii V.A., Matushkin N.Yu., Laevskii Yu.M., Romanova I.V., Travin A.V., Voronin K.V., Lepekhina E.N., “Evolyutsiya magmatizma i karbonatit-granitnaya assotsiatsiya v neoproterozoiskoi aktivnoi kontinentalnoi okraine sibirskogo kratona: termokhronologicheskie rekonstruktsii”, Doklady akademii nauk, 448:5 (2013), 555–555  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
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