Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Adaptive computation of parameters in stabilized methods for convection-diffusion problems

  • ID: 2600, RIV: 10132920
  • ISSN: not specified, ISBN: 978-3-642-33133-6
  • source: Numerical Mathematics and Advanced Applications 2011
  • keywords: adaptive computation of parameters; stabilized methods; convection-diffusion problems
  • authors: Volker John, Petr Knobloch
  • authors from KNM: Knobloch Petr


Stabilized finite element methods for convection-dominated problems contain parameters whose optimal choice is usually not known. This paper presents techniques for computing stabilization parameters in an adaptive way by minimizing a target functional characterizing the quality of the approximate solution. This leads to a constrained nonlinear optimization problem. Numerical results obtained for various target functionals are presented. They demonstrate that a posteriori optimization of parameters can significantly improve the quality of solutions obtained using stabilized methods.