Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Optimal Error Estimates for Nonstationary Singularly Perturbed Problems for Low Discretization Orders

  • ID: 2609, RIV: 10128140
  • ISSN: not specified, ISBN: not specified
  • source: not specified
  • keywords: convection-diffusion; Shishkin mesh; time discontinuous Galerkin method
  • authors: Miloslav Vlasák, Hans-Goerg Roos
  • authors from KNM: Vlasák Miloslav


Nonstationary 1D singularly perturbed convection-diffusion equation is discretized in space by the finite element method on 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.