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Matematicheskoe modelirovanie, 2019, Volume 31, Number 5, Pages 69–84
DOI: https://doi.org/10.1134/S0234087919050058 (Mi mm4073) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations

Y. A. Kriksin, V. F. Tishkin

Keldysh Institute of Applied Mathematics of RAS
Full-text PDF (357 kB) Citations (12)
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DOI: https://doi.org/10.1134/S0234087919050058
Abstract: A constructive version of an arbitrary accuracy discontinuous Galerkin (DG) method solving gas dynamics equations is proposed. This DG method is based on the new variational principle of entropic regularization ensuring the implementation of discrete analogs of the conservation laws of mass, momentum, total energy and entropic inequality.
Keywords: gasdynamic equations, discontinuous Galerkin method, conservation laws, variational principle, entropic inequality.
Funding agency Grant number
Russian Science Foundation 17-71-30014
Received: 06.09.2018
Revised: 06.09.2018
Accepted: 22.10.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 6, Pages 1032–1040
DOI: https://doi.org/10.1134/S2070048219060103
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Y. A. Kriksin, V. F. Tishkin, “Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations”, Matem. Mod., 31:5 (2019), 69–84; Math. Models Comput. Simul., 11:6 (2019), 1032–1040
Citation in format AMSBIB
\Bibitem{KriTis19}
\by Y.~A.~Kriksin, V.~F.~Tishkin
\paper Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 5
\pages 69--84
\mathnet{http://mi.mathnet.ru/mm4073}
\crossref{https://doi.org/10.1134/S0234087919050058}
\elib{https://elibrary.ru/item.asp?id=37298174}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 6
\pages 1032--1040
\crossref{https://doi.org/10.1134/S2070048219060103}
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    • This publication is cited in the following 12 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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