On the Comparison of Evolution Galerkin and Discontinuous Galerkin Schemes
Katja Baumbach and Maria Lukáčová-Medviďová
Abstract: The aim of this paper is to compare some recent numerical schemes for solving hyperbolic conservation laws. We consider the flux vector splitting finite volume methods, finite volume evolution Galerkin scheme as well as the discontinuous Galerkin scheme. All schemes are constructed using time explicit discretization. We present results of numerical experiments for the shallow water equations for continuous as well as discontinuous solutions and compare accuracy and computational efficiency of the considered methods.