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Finite element approximation of viscoelastic progressively incompressible flows

Le Tallec, Patrick; Ravachol, Michel (1989), Finite element approximation of viscoelastic progressively incompressible flows, Numerische Mathematik, 56, 1, p. 43-66. http://dx.doi.org/10.1007/BF01395777

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http://resolver.sub.uni-goettingen.de/purl?GDZPPN001183230
Date
1989
Nom de la revue
Numerische Mathematik
Volume
56
Numéro
1
Éditeur
Springer
Pages
43-66
Identifiant publication
Métadonnées
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Auteur(s)
Le Tallec, Patrick cc
Ravachol, Michel
Résumé (EN)
To avoid any numerical locking in the finite element approximation of viscoelastic flow problems, we propose a three-field approximation of this problem. This approximation, which involves velocities, stresses, and pressures is proved to converge for all times. In the proof, we also obtain convergence results for the three-fields finite element approximation of incompressible elasticity problems.
Mots-clés
viscoelastic flow problems