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

  • Jens Hugger
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 75)


When the finite 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 post processing of the solution to improve the quality. In this paper such a correction term is described for the general case of n dimensional, linear or nonlinear problems. Computational evidence of the performance in one pace dimension is given with special attention to the effects of the appearance of singularities and zeros of derivatives in the exact solution.


Error Estimator Posteriori Error Coarse Mesh Posteriori Error Estimation Finite Element Solution 
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Copyright information

© Springer-Verlag New York 1995

Authors and Affiliations

  • Jens Hugger
    • 1
  1. 1.Institute for MathematicsUniversity of CopenhagenDenmark

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