ERROR ESTIMATION AND TIME-SPACE PARAMETERS OPTIMIZATION FOR FEM NONLINEAR COMPUTATION

Authors
GALLIMARD L LADEVEZE P PELLE JP
Citation
L. Gallimard et al., ERROR ESTIMATION AND TIME-SPACE PARAMETERS OPTIMIZATION FOR FEM NONLINEAR COMPUTATION, Computers & structures, 64(1-4), 1997, pp. 145-156
Citations number
21
Categorie Soggetti
Computer Sciences","Computer Application, Chemistry & Engineering","Computer Science Interdisciplinary Applications","Engineering, Civil
Journal title
Computers & structures → ACNP
ISSN journal
00457949
Volume
64
Issue
1-4
Year of publication
1997
Pages
145 - 156
Database
ISI
SICI code
0045-7949(1997)64:1-4<145:EEATPO>2.0.ZU;2-F
Abstract
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.