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On increasing the stability of the combined scheme of the discontinuous Galerkin method Full article

Journal Mathematical Models and Computer Simulations
ISSN: 2070-0482
Output data Year: 2021, Volume: 13, Number: 6, Pages: 979-985 Pages count : 7 DOI: 10.1134/S2070048221060119
Tags artificial viscosity; combined schemes; discontinuous Galerkin method; systems of conservation laws
Authors Ladonkina M.E. 1,2 , Nekliudova O.A. 1,2 , Ostapenko V.V. 2 , Tishkin V.F. 1,2
Affiliations
1 Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
2 Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Funding (2)

1 Российский научный фонд 16-11-10033-Продление
2 Министерство науки и высшего образования Российской Федерации FWGG-2021-0001

Abstract: A special modification of the combined scheme of the discontinuous Galerkin method, which increases the stability of this scheme when calculating discontinuous solutions with shock waves, is proposed. This modification is related to the addition of artificial viscosity of the fourth order of divergence to the basic scheme included in this combined scheme. The test calculations are presented that demonstrate the advantages of the new combined scheme in comparison with the standard monotonic versions of the discontinuous Galerkin method.
Cite: Ladonkina M.E. , Nekliudova O.A. , Ostapenko V.V. , Tishkin V.F.
On increasing the stability of the combined scheme of the discontinuous Galerkin method
Mathematical Models and Computer Simulations. 2021. V.13. N6. P.979-985. DOI: 10.1134/S2070048221060119 Scopus РИНЦ OpenAlex
Original: Ладонкина М.Е. , Неклюдова О.А. , Остапенко В.В. , Тишкин В.Ф.
О повышении устойчивости комбинированной схемы разрывного метода Галеркина
Математическое моделирование. 2021. Т.33. №3. С.98-108. DOI: 10.20948/mm-2021-03-07 РИНЦ OpenAlex
Identifiers:
Scopus: 2-s2.0-85122005446
Elibrary: 47551414
OpenAlex: W4200007422
Citing: Пока нет цитирований
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