Error estimation and time-space parameters optimization for FEM non-linear computation

Abstract : In this paper, two adaptive methods which permit the control of the parameters of a finite element computation for time-dependent material models are proposed. These methods use a global error measure in the constitutive relation based on Drucker's inequality. This error includes the accuracy of both the finite element model and the algorithm being used, over the studied time interval. In order to master the rnesh element size and the time increments length, an error estimator, which permits the estimation of the errors due to the time discretization, is proposed. Various examples show the reliability of these procedures.
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L. Gallimard, Pierre Ladevèze, Jean-Pierre Pelle. Error estimation and time-space parameters optimization for FEM non-linear computation. Computers and Structures, Elsevier, 1997, 64 (1-4), pp.145-156. ⟨hal-02003789⟩

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