@inproceedings{b51169d828f24cd0bbfa73e58d26bf6e,
title = "Combined DG scheme conserving increased accuracy in shock influence regions",
abstract = "A combined scheme of the discontinuous Galerkin method is proposed. This scheme monotonously localizes the shocks and simultaneously maintains increased accuracy in the shock influence regions. In this scheme, a non-monotonic version of the third-order DG method is used as the baseline and a monotonic version of this method is used as the internal one, in which a nonlinear correction of numerical flows is used. Numerical tests demonstrating the advantages of the new scheme compared to the standard monotonized variants of the DG method areprovided.",
author = "Marina Ladonkina and Olga Nekliudova and Vladimir Ostapenko and Vladimir Tishkin",
note = "Funding Information: The work was carried out with support by the Russian Science Foundation (grant No. 16-11-10033). Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0027850",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",
}