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

On increasing the stability of the combined scheme of the discontinuous Galerkin method Научная публикация

Журнал

Mathematical Models and Computer Simulations
ISSN: 2070-0482

Вых. Данные

Год: 2021, Том: 13, Номер: 6, Страницы: 979-985 Страниц : 7 DOI: 10.1134/S2070048221060119

Ключевые слова

artificial viscosity; combined schemes; discontinuous Galerkin method; systems of conservation laws

Авторы

Ladonkina M.E. ^1,2 , Nekliudova O.A. ^1,2 , Ostapenko V.V. ² , Tishkin V.F. ^1,2

Организации

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

Информация о финансировании (2)

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

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.

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

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

Scopus:	2-s2.0-85122005446
РИНЦ:	47551414
OpenAlex:	W4200007422

Пока нет цитирований