Computing and Visualization in Science

, Volume 11, Issue 4, pp 351–362

A posteriori estimators for obstacle problems by the hypercircle method

  • Dietrich Braess
  • Ronald H. W. Hoppe
  • Joachim Schöberl
Regular article

DOI: 10.1007/s00791-008-0104-2

Cite this article as:
Braess, D., Hoppe, R.H.W. & Schöberl, J. Comput. Visual Sci. (2008) 11: 351. doi:10.1007/s00791-008-0104-2


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.

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  • Dietrich Braess
    • 1
  • Ronald H. W. Hoppe
    • 2
    • 3
  • Joachim Schöberl
    • 4
  1. 1.Institute of MathematicsRuhr-University of BochumBochumGermany
  2. 2.Department of MathematicsUniversity of HoustonHoustonUSA
  3. 3.Institute of MathematicsUniversity of AugsburgAugsburgGermany
  4. 4.Department of Mathematics and Center for Computational Engineering ScienceRWTH AachenAachenGermany