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Title of article :
Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening Original Research Article
Author/Authors :
Carsten Carstensen، نويسنده , , Jochen Alberty، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
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Abstract :
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 one time-step of 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. Since it involves a different functional analytical framework, the case of perfect plasticity is excluded from this paper.
Keywords :
Viscoplasticity , Primal problem , Dual problem , reliability , Finite element method , Averaging estimator , Elastoplasticity , Variational inequality , Plasticity with hardening , A posteriori error estimate
Journal title :
Computer Methods in Applied Mechanics and Engineering
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Link To Document :