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.

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Keldysh Institute preprints, 2018, 100, 22 pages (Mi ipmp2460)

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

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

Yu. A. Kriksin, V. F. Tishkin

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

DOI: https://doi.org/10.20948/prepr-2018-100

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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{http://elibrary.ru/item.asp?id=34887801}

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:

M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Verifikatsiya odnogo metoda entropiinoi regulyarizatsii razryvnykh skhem Galerkina dlya uravnenii giperbolicheskogo tipa”, Preprinty IPM im. M. V. Keldysha, 2019, 018, 25 pp.
Yu. A. Kriksin, V. F. Tishkin, “Variatsionnaya entropiinaya regulyarizatsiya razryvnogo metoda Galerkina dlya uravnenii gazovoi dinamiki”, Matem. modelirovanie, 31:5 (2019), 69–84
M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Obespechenie entropiinoi ustoichivosti razryvnogo metoda Galerkina v gazodinamicheskikh zadachakh”, Preprinty IPM im. M. V. Keldysha, 2019, 051, 22 pp.
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.
M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Razryvnyi metod Galerkina s entropiinym ogranichitelem naklonov dlya uravnenii Eilera”, Matem. modelirovanie, 32:2 (2020), 113–128

Препринты Института прикладной математики им. М. В. Келдыша РАН

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