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A posteriori estimators for obstacle problems by the hypercircle method

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Computing and Visualization in Science

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.

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Authors and Affiliations

  1. Institute of Mathematics, Ruhr-University of Bochum, 44801, Bochum, Germany

    Dietrich Braess

  2. Department of Mathematics, University of Houston, Houston, TX, 77204-3008, USA

    Ronald H. W. Hoppe

  3. Institute of Mathematics, University of Augsburg, 86159, Augsburg, Germany

    Ronald H. W. Hoppe

  4. Department of Mathematics and Center for Computational Engineering Science, RWTH Aachen, 52074, Aachen, Germany

    Joachim Schöberl

Authors
  1. Dietrich Braess
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  2. Ronald H. W. Hoppe
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  3. Joachim Schöberl
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Correspondence to Dietrich Braess.

Additional information

Communicated by G. Wittum.

Dedicated to Wolfgang Hackbusch on occasion of his 60th birthday.

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Braess, D., Hoppe, R.H.W. & Schöberl, J. A posteriori estimators for obstacle problems by the hypercircle method. Comput. Visual Sci. 11, 351–362 (2008). https://doi.org/10.1007/s00791-008-0104-2

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  • DOI: https://doi.org/10.1007/s00791-008-0104-2

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