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
-continuous,
-continuous,
-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 |
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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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