2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 41-51.

Numerical analysis of Euler-SUPG modified method for transient viscoelastic flow

Mohammed Bensaada, Driss Esselaoui

Abstract:
We study a new approximation scheme of transient viscoelastic fluid flow obeying an Oldroyd-B type constitutive law. The approximation stress, velocity, pressure are respectively $P_{1}$-continuous, $P_{2}$-continuous, $P_{1}$-continuous. We use the modified streamline upwinding Petrov-Galerkin method induced by the modified Euler method. We assume that the continuous problem admits a sufficiently smooth and sufficiently small solution. We show that the approximate problem has a solution and we give an error bound.

Published October 15, 2004.
Math Subject Classifications: 65N30, 34K25, 74S05.
Key Words: Stabilized method; finite elements; modified SUPG method; transient viscoelastic flow.

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Mohammed Bensaada
Laboratoire des Sciences de l'Ingénieur
Analyse Numérique et Optimisation (SIANO)
Faculté des Sciences, Université Ibn Tofail
B.P. 133, 14000-Kénitra, Maroc
Driss Esselaoui
Laboratoire des Sciences de l'Ingénieur
Analyse Numérique et Optimisation (SIANO)
Faculté des Sciences, Université Ibn Tofail
B.P. 133, 14000-Kénitra, Maroc
email: desselaoui@yahoo.fr   Fax: 212 37 37 27 70

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