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Matem. Mod., 2019, Volume 31, Number 5, Pages 69–84 (Mi mm4073)  

This article is cited in 2 scientific papers (total in 2 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

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


DOI: https://doi.org/10.1134/S0234087919050058

Full text: PDF file (357 kB)
References: PDF file   HTML file

Received: 06.09.2018
Revised: 06.09.2018
Accepted:22.10.2018

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

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}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. A. Kriksin, V. F. Tishkin, “Chislennoe reshenie zadachi Einfeldta na osnove razryvnogo metoda Galerkina”, Preprinty IPM im. M. V. Keldysha, 2019, 090, 22 pp.  mathnet  crossref  elib
    2. R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Primenenie razryvnogo metoda Galerkina k modelirovaniyu dvumernykh techenii mnogokomponentnoi smesi idealnykh gazov na adaptivnykh lokalno izmelchayuschikhsya setkakh”, Zhurnal SVMO, 21:2 (2019), 244–258  mathnet  crossref  elib
  • Математическое моделирование
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