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.