Finite element approximation of viscoelastic progressively incompressible flows

Patrick Le Tallec; Michel Ravachol

doi:10.1007/BF01395777

Finite element approximation of viscoelastic progressively incompressible flows

Patrick Le Tallec
, Michel Ravachol

Université Paris Dauphine
Laboratoire Central des Ponts et Chaussées

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	43-66
Nombre de pages	24
journal	Numerische Mathematik
Volume	56
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/BF01395777
état	Publié - 1 janv. 1989
Modification externe	Oui

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10.1007/BF01395777

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title = "Finite element approximation of viscoelastic progressively incompressible flows",

abstract = "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.",

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AU - Ravachol, Michel

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AB - 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.

KW - Subject Classifications: AMS(MOS): 65K19, 65N30, 73F05, 76A05, CR: G1.8

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DO - 10.1007/BF01395777

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JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 1

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Finite element approximation of viscoelastic progressively incompressible flows

Résumé

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