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Impact of different limiting functions on the order of solution obtained by RKDG

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Abstract

The impact of different limiting functions is studied on the order of solution obtained by the Runge-Kutta discontinuous Galerkin (RKDG) method for the problem of one-dimensional ideal gas dynamics in the case when the solution is a simple wave, whose parameters are selected in such a way as to ensure the infinite smoothness of the initial functions.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    M. E. Ladonkina, O. A. Neklyudova & V. F. Tishkin

Authors
  1. M. E. Ladonkina
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  2. O. A. Neklyudova
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  3. V. F. Tishkin
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Correspondence to M. E. Ladonkina.

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Original Russian Text © M.E. Ladonkina, O.A. Neklyudova, V.F. Tishkin, 2012, published in Matematicheskoe Modelirovanie, 2012, Vol. 24, No. 12, pp. 124–128.

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Ladonkina, M.E., Neklyudova, O.A. & Tishkin, V.F. Impact of different limiting functions on the order of solution obtained by RKDG. Math Models Comput Simul 5, 346–349 (2013). https://doi.org/10.1134/S2070048213040091

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  • DOI: https://doi.org/10.1134/S2070048213040091

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