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Matematicheskoe modelirovanie, 2016, Volume 28, Number 5, Pages 81–94 (Mi mm3731)  
Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method

E. P. Sychugova

Nuclear Safety Institute RAS, Moscow
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Abstract: The Discontinuous Finite Element Method (DFEM) is considered for solving the transport equation on triangular grid, in which the Galerkin spatial approximation with linear base functions is used. It is proposed the comparison of the numerical solution of two test problems obtained by the DFEM on triangular grid and Diamond Differencing scheme and Linear Nodal method on rectangular grid with the analytical solution.
Keywords: transport equation, discontinuous finite element method, triangular grid, discrete ordinates, barycentric coordinates.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00870_а
Received: 18.12.2014
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. P. Sychugova, “Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method”, Matem. Mod., 28:5 (2016), 81–94
Citation in format AMSBIB
\Bibitem{Syc16}
\by E.~P.~Sychugova
\paper Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 5
\pages 81--94
\mathnet{http://mi.mathnet.ru/mm3731}
\elib{https://elibrary.ru/item.asp?id=26414261}
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    		Математическое моделирование
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