In this paper we investigate the L∞-stability of fully discrete approximations of abstract linear parabolic partial differential equations (PDEs). The method under consideration is based on an hp-type ...

Local adaptivity and mesh refinement are key to the efficient simulation of wave phenomena in heterogeneous media or complex geometry. Locally refined meshes, however, dictate a small time step ...

Discontinuous Galerkin time-domain (DGTD) methods represent a significant evolution in the numerical simulation of electromagnetic phenomena. By decomposing the spatial domain into a series of ...