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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 100, 22 pp.
DOI: https://doi.org/10.20948/prepr-2018-100 (Mi ipmp2460) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics

Yu. A. Kriksin, V. F. Tishkin
Full-text PDF (752 kB) Citations (10)
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DOI: https://doi.org/10.20948/prepr-2018-100
Abstract: A new variational entropic regularization principle is formulated for a discontinuous Galerkin (DG) method. An entropy stable DG method of high accuracy is constructed for 1D equations of gas dynamics. The DG solutions satisfy the discrete analogues of the conservation laws of mass, momentum, total energy and entropic inequality. Formulas for the coefficients of the DG method are obtained.
Keywords: equations of gas dynamics, discontinuous Galerkin method, variational principle, conservation laws, entropy condition.
Funding agency Grant number
Russian Science Foundation 17-71-30014
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics”, Keldysh Institute preprints, 2018, 100, 22 pp.
Citation in format AMSBIB
\Bibitem{KriTis18}
\by Yu.~A.~Kriksin, V.~F.~Tishkin
\paper Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics
\jour Keldysh Institute preprints
\yr 2018
\papernumber 100
\totalpages 22
\mathnet{http://mi.mathnet.ru/ipmp2460}
\crossref{https://doi.org/10.20948/prepr-2018-100}
\elib{https://elibrary.ru/item.asp?id=34887801}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p100
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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