M. E. Ladonkina, V. F. Tishkin, “On the connection of discontinuous Galerkin method and Godunov type methods of high order accuracy”, Keldysh Institute preprints, 2014,049, 10 pp.

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On the connection of discontinuous Galerkin method and Godunov type methods of high order accuracy

M. E. Ladonkina, V. F. Tishkin

Abstract: It is shown that the schemes of discontinuous Galerkin method can be interpreted as a generalization of Godunov's method for piecewise polynomial functions. For the problem of interaction of a shock wave with entropy perturbation orders of accuracy close to second in the wake of the shock wave are obtained.

Keywords: Godunov method of high accuracy, discontinuous Galerkin method.