Robust a-posteriori estimator for advection-diffusion-reaction problems

@article{Sangalli2008RobustAE,
  title={Robust a-posteriori estimator for advection-diffusion-reaction problems},
  author={Giancarlo Sangalli},
  journal={Math. Comput.},
  year={2008},
  volume={77},
  pages={41-70}
}
We propose an almost-robust residual-based a-posteriori estimator for the advection-diffusion-reaction model problem. The theory is developed in the one-dimensional setting. The numerical error is measured with respect to a norm which was introduced by the author in 2005 and somehow plays the role that the energy norm has with respect to symmetric and coercive differential operators. In particular, the mentioned norm possesses features that allow us to obtain a meaningful a-posteriori estimator… CONTINUE READING

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