Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Local projection method for convection-diffusion-reaction problems with projection spaces defined on overlapping sets

  • ID: 2466, RIV: 10057252
  • ISSN: not specified, ISBN: 978-3-642-11794-7
  • source: Numerical Mathematics and Advanced Applications 2009
  • keywords: finite element method; convection-diffusion-reaction equation; stabilization; local projection; overlapping; error estimates
  • authors: Petr Knobloch
  • authors from KNM: Knobloch Petr


We extend the local projection finite element method for steady scalar convection-diffusion-reaction equations to local projection spaces defined on overlapping sets. The main result of the paper is an optimal error estimate with respect to the standard local projection norm.