2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 53-59.

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

Authors: Mohammed Bensaada (Univ. Ibn Tofail, Maroc)
         Driss Esselaoui  (Univ. Ibn Tofail, Maroc)
	 Pierre Saramito (LMC-IMAG, France)
 
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.