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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2025, Volume 523, Pages 50–58
DOI: https://doi.org/10.31857/S2686954325030098 (Mi danma647) 		 
MATHEMATICS

Modification of the discontinuous Galerkin method using time-dependent basis functions

M. E. Ladonkina, V. F. Tishkin

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954325030098
Abstract: In this paper, we propose a modification of the discontinuous Galerkin method using time-dependent basis functions. The use of such basis functions allows us to naturally and stably calculate strong discontinuities.
Keywords: Godunov method of high order of accuracy, discontinuous Galerkin method, time-dependent basis functions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was performed within the framework of the state assignment of the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences.
Received: 28.04.2025
Revised: 05.06.2025
Accepted: 05.06.2025
English version:
Doklady Mathematics, 2025, Volume 111, Issue 3, Pages 182–188
DOI: https://doi.org/10.1134/S1064562425700140
Bibliographic databases:
Document Type: Article
UDC: 51-72, 51-76
Language: Russian
Citation: M. E. Ladonkina, V. F. Tishkin, “Modification of the discontinuous Galerkin method using time-dependent basis functions”, Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025), 50–58; Dokl. Math., 111:3 (2025), 182–188
Citation in format AMSBIB
\Bibitem{LadTis25}
\by M.~E.~Ladonkina, V.~F.~Tishkin
\paper Modification of the discontinuous Galerkin method using time-dependent basis functions
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2025
\vol 523
\pages 50--58
\mathnet{http://mi.mathnet.ru/danma647}
\elib{https://elibrary.ru/item.asp?id=82708728}
\transl
\jour Dokl. Math.
\yr 2025
\vol 111
\issue 3
\pages 182--188
\crossref{https://doi.org/10.1134/S1064562425700140}
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