We discuss two time integration techniques, aimed at overcoming local grid-induced stiffness in discontinuous Galerkin methods. A local time-stepping approach, utilizing the local properties of the scheme, is shown to work very well. Recently developed additive Runge-Kutta methods are more general and found to be promising when combined with efficient local preconditioning.
Daniel Kressner, Axel Elie Joseph Séguin, Gianluca Ceruti
Annalisa Buffa, Espen Sande, Yannis Dirk Voet
Jiri Vanicek, Roya Moghaddasi Fereidani