KNM MFF UK

Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Optimal error estimates for nonstationary singularly perturbed problems for low discretization orders

  • ID: 2633, RIV: 10129209
  • ISSN: 1803-9782, ISBN: not specified
  • source: ACC Journal
  • keywords: singularly perturbed problems; convection-diffusion; discontinuous Galerkin method
  • authors: Miloslav Vlasák, Hans-Göerg Roos
  • authors from KNM: Vlasák Miloslav

Abstract

Nonstationary 1D singularly perturbed convection-diffusion equation is discretized in space by the finite element method on a Shishkin mesh and by time discontinuous Galerkin method. The resulting scheme is analyzed and diffusion-uniform error estimates are derived. The key results are restricted to lower order space and time discretizations only.