2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 53-59.

Error estimate for the characteristic method involving Oldroyd derivative in a tensorial transport problem

Mohammed Bensaada, Driss Esselaoui, Pierre Saramito

Abstract:
An optimal a priori error estimate $O(h^{k+1}+\Delta t)$, result is presented for a tensor problem involving Oldroyd derivative when using a suitable characteristic method and a finite element method. To conclude, we present results of numerical tests which confirm the previous estimates. Our long time goal is to deal with the viscoelastic fluid flow problem.

Published October 15, 2004.
Math Subject Classifications: 65M60, 65M25, 65M15, 76A10.
Key Words: Finite element method; method of characteristics; error bound; viscoelastic fluids.

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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
Pierre Saramito
LMC-IMAG
B.P. 53, 38041 Grenoble cedex 9, France
email: Pierre.Saramito@imag.fr   Fax: 33 4 76 63 12 63

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