Pointwise A Posteriori Error Analysis for anAdap-tive Penalty Finite Element Method for the Obstacle Problem

@inproceedings{French2000PointwiseAP,
  title={Pointwise A Posteriori Error Analysis for anAdap-tive Penalty Finite Element Method for the Obstacle Problem},
  author={Donald A. French and Stig Larsson and Ricardo H. Nochetto},
  year={2000}
}
Finite element approximations based on a penalty formulation of the elliptic obstacle problem are analyzed in the maximum norm. A posteriori error estimates, which involve a residual of the approximation and a spatially variable penalty parameter, are derived in the cases of both smooth and rough obstacles. An adaptive algorithm is suggested and implemented in one dimension. 
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