L. Gallimard et al., ERROR ESTIMATION AND TIME-SPACE PARAMETERS OPTIMIZATION FOR FEM NONLINEAR COMPUTATION, Computers & structures, 64(1-4), 1997, pp. 145-156
In this paper, two adaptive methods which permit the control of the pa
rameters of a finite element computation for time-dependent material m
odels are proposed. These methods use a global error measure in the co
nstitutive 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 mesh ele
ment size and the time increments length, an error estimator, which pe
rmits the estimation of the errors due to the time discretization, is
proposed. Various examples show the reliability of these procedures. (
C) 1997 Civil-Comp Ltd and Elsevier Science Ltd.