Geodesic
Application of the RKDG method for gas dynamics problems
Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 17-32.

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In recent years the RKDG method with discontinuous basic functions which is characterized as a higher-order method is widely used. It’s known that for guaranteeing the monotony of solution obtained by this method it is necessary to use limiters especially if the solution contains big instabilities. However, application of limiters can negatively affect the accuracy of the solution. In this paper the way of saving the order of accuracy of the solution and guaranteeing the monotony is explored.
Keywords: discontinuous Galerkin method, limiters
Mots-clés : Euler equations. 
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M. E. Ladonkina; O. A. Neklyudova; V. F. Tishkin. Application of the RKDG method for gas dynamics problems. Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 17-32. http://geodesic.mathdoc.fr/item/MM_2014_26_1_a1/

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