Adaptivity and Variational Stabilization for Convection – Diffusion Equations ∗

@inproceedings{Cohen2011AdaptivityAV,
  title={Adaptivity and Variational Stabilization for Convection – Diffusion Equations ∗},
  author={Albert Cohen and Wolfgang Dahmen and Gerrit Welper},
  year={2011}
}
In this paper we propose and analyze stable variational formulations for convection diffusion problems starting from concepts introduced by Sangalli. We derive efficient and reliable a posteriori error estimators that are based on these formulations. The analysis of resulting adaptive solution concepts reveals partly unexpected phenomena related to the specific nature of the norms induced by the variational formulation. Several remedies are explored and illustrated by numerical experiments.