On a posteriori estimates for a linearized Oldroyd's problem

  • Authors:

  • K. Najib;D. Sandri;A.-M. Zine

  • Affiliations:

  • Ecole Nationale de l'Industrie Minérale B.P. 753, Rabat Agdal, Morocco;Laboratoire MAPLY, UMR5585, Bat. 101-Université de Lyon I, 43 hd du 11 Novembre 1918 Villeurbanne Cedex 69622, France;Laboratoire MAPLY, UMR5585, Département de Mathématiques et Informatique, Ecole Centrale de Lyon, B.P. 163, Ecully Cedex 69131, France

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2004

Quantified Score

Hi-index 7.29

Visualization

Abstract

We study and give some a posteriori estimates for finite element approximation of a linearized Oldroyd's problem for the approximation of viscoelastic fluid flows. The major difficulty lies in the coupling between two different kinds of equations: a hyperbolic equation associated to the constitutive equation and Stokes problem. These estimates are then obtained combining two different techniques used for each kind of equation: the first technique is given in (First ICIAM, Paris, 1987) for Stokes's equations and the second in (C.R. Acad. Sci. Paris. Ser. I. 322 (1996) 493) for Friedrichs's system.