Email this article Variational Entropic Regularization of the Discontinuous Galerkin Method for Gasdynamic Equations
- Authors: Kriksin Y.A.1, Tishkin V.F.1
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Affiliations:
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Issue: Vol 11, No 6 (2019)
- Pages: 1032-1040
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/203942
- DOI: https://doi.org/10.1134/S2070048219060103
- ID: 203942
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Abstract
A constructive version of the discontinuous Galerkin method (DGM) of arbitrary orders of accuracy to solve gasdynamic (GD) equations is proposed. This DGM 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.
About the authors
Y. A. Kriksin
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: kriksin@imamod.ru
Russian Federation, Moscow, 125047
V. F. Tishkin
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: vftishkin@mail.ru
Russian Federation, Moscow, 125047
