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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 1, Pages 51–65 (Mi sjvm267)  
This article is cited in 1 scientific paper (total in 1 paper)

Application of non-conforming finite elements for solving problems of diffusion and advection

V. I. Kuzinab, V. V. Kravtchenkoa

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Novosibirsk
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Abstract: The object of this paper is non-conforming finite elements and non-conforming finite element schemes for solving the diffusion-advection equation. This investigation is aimed at finding new schemes for solving parabolic equations. The method of the study is a finite element method, variational-difference schemes, tests. Two types of schemes are examined: the one is obtained with the help of the Bubnov–Galerkin method from a poor problem definition (non-monotone scheme) and the other one is a monotone up-stream type scheme, obtained from an approximate poor problem definition with a special approximation of skew-symmetric terms.
Key words: non-conforming finite elements, diffusion and advection equation, finite element method, Bubnov–Galerkin method, up-stream type scheme.
Received: 17.03.2009
Revised: 15.04.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 1, Pages 39–51
DOI: https://doi.org/10.1134/S1995423910010052
Bibliographic databases:
Document Type: Article
UDC: 519.6+532.5
Language: Russian
Citation: V. I. Kuzin, V. V. Kravtchenko, “Application of non-conforming finite elements for solving problems of diffusion and advection”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 51–65; Num. Anal. Appl., 3:1 (2010), 39–51
Citation in format AMSBIB
\Bibitem{KuzKra10}
\by V.~I.~Kuzin, V.~V.~Kravtchenko
\paper Application of non-conforming finite elements for solving problems of diffusion and advection
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 1
\pages 51--65
\mathnet{http://mi.mathnet.ru/sjvm267}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 1
\pages 39--51
\crossref{https://doi.org/10.1134/S1995423910010052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952124914}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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