2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 41-51.

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

Authors: Mohammed Bensaada (Univ. Ibn Tofail, Maroc)
         Driss Esselaoui (Univ. Ibn Tofail, Maroc)
 
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.