University of Minnesota, School of Mathematics, 206 Church St, SE, Minneapolis, MN 55455, USA
ABSTRACT
We study some superconvergence properties of discontinuous Galerkin methods for convection-diffusion problems in one space dimension. We show that the nodal error converges with order 2p + 1 if polynomials of degree p are used. The theoretical results are verified by numerical experiments.
Keywords:
Superconvergence; Discontinuous Galerkin methods; Postprocessing