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

Authors:
Marco Lonsing;Rüdiger Verfürth
Affiliations:
Fakultät für Mathematik, Ruhr-Universität Bochum, Germany;Fakultät für Mathematik, Ruhr-Universität Bochum, Germany
Venue:
Numerische Mathematik
Year:
2004

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Abstract

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.