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A posteriori error estimators for mixed finite element methods in linear elasticity

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Summary.

Three a posteriori error estimators for PEERS and BDMS elements in linear elasticity are presented: one residual error estimator and two estimators based on the solution of auxiliary local problems with different boundary conditions. All of them are reliable and efficient with respect to the standard norm and furthermore robust for nearly incompressible materials.

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Authors and Affiliations

  1. Ruhr-Universität Bochum, Fakultät für Mathematik, 44780, Bochum, Germany;

    Marco Lonsing & Rüdiger Verfürth

Authors
  1. Marco Lonsing
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  2. Rüdiger Verfürth
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Correspondence to Rüdiger Verfürth.

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Correspondence to: R. Verfürth

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Lonsing, M., Verfürth, R. A posteriori error estimators for mixed finite element methods in linear elasticity. Numer. Math. 97, 757–778 (2004). https://doi.org/10.1007/s00211-004-0519-8

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  • DOI: https://doi.org/10.1007/s00211-004-0519-8

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