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: not assigned

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.