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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 24
ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS
Edited by: B.H.V. Topping and M. Papadrakakis
Paper I.1

Error Estimator and Time-Space Parameters Optimization for Finite Element Non-Linear Computation

L. Gallimard, P. Ladeveze and J.P. Pelle

Laboratoire de Mecanique et Technologie, ENS de Cachan/CNRS/Universite Paris 6, France

Full Bibliographic Reference for this paper
L. Gallimard, P. Ladeveze, J.P. Pelle, "Error Estimator and Time-Space Parameters Optimization for Finite Element Non-Linear Computation", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 1-9, 1994. doi:10.4203/ccp.24.1.1
Abstract
Two adaptive methods which permit to control the parameters of a finite element computation for time-dependent material models are proposed. These methods use a global error measure in constitutive relation based on Drucker's inequality. This error includes, over the studied time interval, the accuracy of both the finite element model and the algorithm being used. In order to master the mesh element size and the time increments length, an error estimator, which permits to estimates the errors due to the time discretization, is proposed. Various examples show the reliability of these procedures.

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