Advances in Computational Mathematics

, Volume 3, Issue 1, pp 101–113

A mixed finite element for the stokes problem using quadrilateral elements

  • Mohamed Farhloul
  • Michel Fortin

DOI: 10.1007/BF02431998

Cite this article as:
Farhloul, M. & Fortin, M. Adv Comput Math (1995) 3: 101. doi:10.1007/BF02431998


The object of this paper is to complete the results obtained in [3] by showing that the new mixed finite element that we have constructed in [3] also works for quadrilateral elements and to compare this method with the standard finite volume method. Estimates of optimal order are derived for both the new mixed finite element and an associated finite volume method.

Key words

Mixed finite elementsfinite volumesquadrilateral elementsreduced integrationsStokes equations

Copyright information

© J.C. Baltzer AG, Science Publishers 1995

Authors and Affiliations

  • Mohamed Farhloul
    • 1
  • Michel Fortin
    • 1
  1. 1.Département de Mathématiques et de StatistiqueUniversité LavalQuébecCanada