00-23 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Carsten Carstensen, Jochen Alberty:Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening ?Averaging techniques are popular tools in adaptive finite element methods for numerical simulation in continuum mechanics since they provide efficient a posteriori error control. In this paper, the reliability of any averaging estimator is shown for low order finite element methods in elastoplasticity with hardening. The constants and higher-order terms are effected by the hardening and the smoothness of given right-hand sides, but are independent of the structure of a shape-regular mesh.Mathematics Subject Classification (1991): 65N30, 65R20, 73C50 Keywords: elastoplasticity, variational inequality, a posteriori error estimate, plasticity with hardening, viscoplasticity, primal problem, dual problem, reliability, finite element method, averaging estimator
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