CFL-less Discontinuous Galerkin solver
Résumé
We describe an explicit Discontinuous Galerkin (DG) kinetic scheme for solving systems of conservation laws. The solver is stable for an arbitrary CFL number and has the complexity of an explicit scheme. It can be applied to any hyperbolic system of conservation laws. In this work we assess the performance of the scheme in the particular case of the three-dimensional wave equation and of Maxwell's equations. We measure the benefit of the CFL-less feature and the parallel possibilities of the method.
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