On the Accuracy of Discontinuous Galerkin Method Calculating Gas-Dynamic Shock Waves

The results of a numerical calculation of gas-dynamic shock waves that arise in solving the Cauchy problem with smooth periodic initial data are presented for three variants of the discontinuous Galerkin (DG) method, in which the solution is sought in the form of a piecewise linear discontinuous fun...

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Veröffentlicht in:Doklady. Mathematics 2023-04, Vol.107 (2), p.120-125
Hauptverfasser: Ladonkina, M. E., Nekliudova, O. A., Ostapenko, V. V., Tishkin, V. F.
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Sprache:eng
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