KNM MFF UK

Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Optimal spatial error estimates for DG time discretizations

  • ID: 2590, RIV: 10159525
  • ISSN: 1570-2820, ISBN: not specified
  • source: Journal of Numerical Mathematics
  • keywords: parabolic problems; time discontinuous Galerkin; a priori error estimates
  • authors: Miloslav Vlasák
  • authors from KNM: Vlasák Miloslav

Abstract

In this paper a general parabolic problem is considered and discretized by the discontinuous Galerkin (DG) method in time and, in general, in space. Optimal a priori error estimates in space as well as in time are derived and applied to the heat equation and to a nonlinear convection-diffusion equation.