KNM MFF UK

Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

AN OPTIMAL UNIFORM A PRIORI ERROR ESTIMATE FOR AN UNSTEADY SINGULARLY PERTURBED PROBLEM

  • ID: 2669, RIV: 10284288
  • ISSN: 1705-5105, ISBN: not specified
  • source: International Journal of Numerical Analysis and Modeling
  • keywords: discontinuous Galerkin; convection diffusion; layer adapted mesh; error estimate
  • authors: Miloslav Vlasák, Hans-Goerg Roos
  • authors from KNM: Vlasák Miloslav

Abstract

A time dependent convection diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.