|Preprint-No.:||< 470 >||Published in:||September 2017||PDF-File:||IGPM470.pdf|
|Title:||On the derivation of the Discontinuous Galerkin method for hyperbolic conservation laws|
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|