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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 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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