An Asymptotically Exact, Pointwise, a Posteriori Error Estimator for the Finite Element Method with Super Convergence Properties

@inproceedings{Hugger1993AnAE,
  title={An Asymptotically Exact, Pointwise, a Posteriori Error Estimator for the Finite Element Method with Super Convergence Properties},
  author={Jens Hugger},
  year={1993}
}
When the nite element solution of a variational problem possesses certain super convergence properties, it is possible very inexpensively to obtain a correction term providing an additional order of approximation of the solution. The correction can be used for error estimation locally or globally in whatever norm is preferred, or if no error estimation is wanted it can be used for postprocessing of the solution to improve the quality. In this paper such a correction term is described for the… CONTINUE READING