CFL condition and boundary conditions for DGM approximation of convection-diffusion

摘要

We propose a general method for the design of discontinuous Galerkin methods ( DGMs) for nonstationary linear equations. The method is based on a particular splitting of the bilinear forms that appear in the weak DGM. We prove that an appropriate time splitting gives a stable linear explicit scheme whatever the order of the polynomial approximation. Numerical results are presented.