Standard

Combined dg scheme that maintains increased accuracy in shock wave areas. / Ladonkina, M. E.; Nekliudova, O. A.; Ostapenko, V. V. et al.

In: Doklady Mathematics, Vol. 100, No. 3, 11.2019, p. 519-523.

Research output: Contribution to journal › Article › peer-review

Harvard

Ladonkina, ME, Nekliudova, OA, Ostapenko, VV & Tishkin, VF 2019, 'Combined dg scheme that maintains increased accuracy in shock wave areas', Doklady Mathematics, vol. 100, no. 3, pp. 519-523. https://doi.org/10.1134/S106456241906005X

APA

Ladonkina, M. E., Nekliudova, O. A., Ostapenko, V. V., & Tishkin, V. F. (2019). Combined dg scheme that maintains increased accuracy in shock wave areas. Doklady Mathematics, 100(3), 519-523. https://doi.org/10.1134/S106456241906005X

Vancouver

Ladonkina ME, Nekliudova OA, Ostapenko VV, Tishkin VF. Combined dg scheme that maintains increased accuracy in shock wave areas. Doklady Mathematics. 2019 Nov;100(3):519-523. doi: 10.1134/S106456241906005X

Author

Ladonkina, M. E. ; Nekliudova, O. A. ; Ostapenko, V. V. et al. / Combined dg scheme that maintains increased accuracy in shock wave areas. In: Doklady Mathematics. 2019 ; Vol. 100, No. 3. pp. 519-523.

BibTeX

@article{f3ebd1c90b3c4364bac61d3c5a547b8c,
title = "Combined dg scheme that maintains increased accuracy in shock wave areas",
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.",
author = "Ladonkina, {M. E.} and Nekliudova, {O. A.} and Ostapenko, {V. V.} and Tishkin, {V. F.}",
year = "2019",
month = nov,
doi = "10.1134/S106456241906005X",
language = "English",
volume = "100",
pages = "519--523",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Combined dg scheme that maintains increased accuracy in shock wave areas

AU - Ladonkina, M. E.

AU - Nekliudova, O. A.

AU - Ostapenko, V. V.

AU - Tishkin, V. F.

PY - 2019/11

Y1 - 2019/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85081718226&partnerID=8YFLogxK

U2 - 10.1134/S106456241906005X

DO - 10.1134/S106456241906005X

M3 - Article

AN - SCOPUS:85081718226

VL - 100

SP - 519

EP - 523

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 3

ER -

ID: 23825769