A Note on Constant-Free A Posteriori Error Estimates

@article{Verfrth2009ANO,
  title={A Note on Constant-Free A Posteriori Error Estimates},
  author={R{\"u}diger Verf{\"u}rth},
  journal={SIAM J. Numerical Analysis},
  year={2009},
  volume={47},
  pages={3180-3194}
}
In this note we look at constant-free a posteriori error estimates from a different perspective. We show that they can be interpreted as an alternative way of expressing the residual of a finite element approximation and thus fit into the same framework as other a posteriori error estimates such as residual error indicators. Our approach also reveals that, when applied to singularly perturbed reaction-diffusion or convection-diffusion problems, constant-free a posteriori error estimates will… CONTINUE READING