Local projection type stabilisation applied to inf-sup stable discretisations of the Oseen problem

@inproceedings{Matthies2007LocalPT,
  title={Local projection type stabilisation applied to inf-sup stable discretisations of the Oseen problem},
  author={Gunar Matthies},
  year={2007}
}
The local projection method is applied to inf-sup stable discretisations of the Oseen problem. Error bounds of order r are proven for known inf-sup stable pairs of finite element spaces which approximate velocity and pressure by elements of order r and r − 1, respectively. In case of a positive reaction coefficient, the error constants are robust with respect to the viscosity but depend on the positive lower bound of the reaction coefficient. Using enriched velocity spaces, error estimates of… CONTINUE READING