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Preprint-No.: <   470   >   Published in: September 2017   PDF-File: IGPM470.pdf
Title:On the derivation of the Discontinuous Galerkin method for hyperbolic conservation laws
Authors:Sebastian Noelle
Abstract:
We re-derive Cockburn and Shu’s semi-discrete Discontinuous Galerkin method [Mathematics of Computation, 52:411-435, 1989] by passing to the limit in the classical space-time weak formulation. This leads to a new interpretation of the role of the numerical flux function.
Keywords:discontinuous Galerkin method, hyperbolic conservation laws, semi-discrete weak formulation, numerical flux function