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Matematicheskoe modelirovanie, 2015, Volume 27, Number 10, Pages 96–116 (Mi mm3660)  

This article is cited in 5 scientific papers (total in 5 papers)

On correlation between the discontinuous Galerkin method and MUSCL-type schemes

A. V. Rodionov

Russian Federal Nuclear Center — VNIIEF, Sarov
Full-text PDF (533 kB) Citations (5)
References:
Abstract: The discontinuous Galerkin method is compared with MUSCL-type schemes. Description and analysis of schemes are presented as applied to the linear constant-coefficient advection equation. The techniques for generalizing schemes to nonlinear and multidimensional problems are considered. The distinctive features and correlations between the discontinuous Galerkin method and MUSCL-type schemes are revealed. The accuracy and efficiency criteria of the schemes when applied to different-type problems are discussed.
Keywords: Godunov-type schemes, Riemann problem, piecewise-linear approximation, Shu and Osher test problem, double Mach reflection test problem.
Received: 16.03.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 3, Pages 285–300
DOI: https://doi.org/10.1134/S207004821603008X
Bibliographic databases:
Document Type: Article
UDC: 519.6+533.6
Language: Russian
Citation: A. V. Rodionov, “On correlation between the discontinuous Galerkin method and MUSCL-type schemes”, Matem. Mod., 27:10 (2015), 96–116; Math. Models Comput. Simul., 8:3 (2016), 285–300
Citation in format AMSBIB
\Bibitem{Rod15}
\by A.~V.~Rodionov
\paper On correlation between the discontinuous Galerkin method and MUSCL-type schemes
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 10
\pages 96--116
\mathnet{http://mi.mathnet.ru/mm3660}
\elib{https://elibrary.ru/item.asp?id=25707557}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 3
\pages 285--300
\crossref{https://doi.org/10.1134/S207004821603008X}
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  • https://www.mathnet.ru/eng/mm/v27/i10/p96
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:304
    Full-text PDF :158
    References:73
    First page:15
     
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