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Combined DG Scheme That Maintains Increased Accuracy in Shock Wave Areas Full article

Journal Doklady Mathematics
ISSN: 1064-5624
Output data Year: 2019, Volume: 100, Number: 3, Pages: 519-523 Pages count : 5 DOI: 10.1134/S106456241906005X
Authors Ladonkina M.E. 1,2 , Nekliudova O.A. 1,2 , Ostapenko V.V. 2,3 , Tishkin V.F. 1,2
Affiliations
1 Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
2 Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
3 Novosibirsk State University, Novosibirsk, 630090 Russia

Funding (1)

1 Российский научный фонд 16-11-10033-Продление

Abstract: A combined scheme for the discontinuous Galerkin (DG) method is proposed. This scheme monotonically localizes the fronts of shock waves and simultaneously maintains increased accuracy in the regions of smoothness of the computed weak solutions. In this scheme, a nonmonotone version of the third-order DG method is used as a baseline scheme and a monotone version of this method is used as an internal scheme, in which a nonlinear correction of numerical fluxes is used. Tests demonstrate the advantages of the new scheme as compared to standard monotonized variants of the DG method.
Cite: Ladonkina M.E. , Nekliudova O.A. , Ostapenko V.V. , Tishkin V.F.
Combined DG Scheme That Maintains Increased Accuracy in Shock Wave Areas
Doklady Mathematics. 2019. V.100. N3. P.519-523. DOI: 10.1134/S106456241906005X WOS Scopus РИНЦ OpenAlex
Original: Ладонкина М.Е. , Неклюдова О.А. , Остапенко В.В. , Тишкин В.Ф.
Комбинированная схема разрывного метода Галёркина, сохраняющая повышенную точность в областях влияния ударных волн
Доклады Академии наук. 2019. Т.489. №2. С.119-124. DOI: 10.31857/s0869-56524892119-124 РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000519350300004
Scopus: 2-s2.0-85081718226
Elibrary: 43260150
OpenAlex: W3011802431
Citing:
DB Citing
Elibrary 14
OpenAlex 20
Scopus 14
Web of science 10
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