Combined dg scheme that maintains increased accuracy in shock wave areas

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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)519-523
Number of pages5
JournalDoklady Mathematics
Issue number3
Publication statusPublished - Nov 2019


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