Regular article

Computing and Visualization in Science

, Volume 11, Issue 4, pp 351-362

A posteriori estimators for obstacle problems by the hypercircle method

  • Dietrich BraessAffiliated withInstitute of Mathematics, Ruhr-University of Bochum Email author 
  • , Ronald H. W. HoppeAffiliated withDepartment of Mathematics, University of HoustonInstitute of Mathematics, University of Augsburg
  • , Joachim SchöberlAffiliated withDepartment of Mathematics and Center for Computational Engineering Science, RWTH Aachen

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Abstract

A posteriori error estimates for the obstacle problem are established in the framework of the hypercircle method. To this end, we provide a general theorem of Prager–Synge type. There is now no generic constant in the main term of the estimate. Moreover, the role of edge terms is elucidated, and the analysis also applies to other types of a posteriori error estimators for obstacle problems.