Variational Entropic Regularization of the Discontinuous Galerkin Method for Gasdynamic Equations
- Авторы: Kriksin Y.1, Tishkin V.1
-
Учреждения:
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Выпуск: Том 11, № 6 (2019)
- Страницы: 1032-1040
- Раздел: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/203942
- DOI: https://doi.org/10.1134/S2070048219060103
- ID: 203942
Цитировать
Аннотация
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.
Об авторах
Y. Kriksin
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Автор, ответственный за переписку.
Email: kriksin@imamod.ru
Россия, Moscow, 125047
V. Tishkin
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Автор, ответственный за переписку.
Email: vftishkin@mail.ru
Россия, Moscow, 125047