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J. Pitkaranta and R. Stenberg, “Error Bounds for the Approximation of the Stokes Problem Using Bilinear/Con- stant Elements on Irregular Quadrilateral Meshes,” In: J. Whiteman, Ed., The Mathematics of Finite Elements and Applications V, Academic Press, London, 1985, pp. 325- 334.

has been cited by the following article:

• TITLE: A Finite Element Approximation of the Stokes Equations

  AUTHORS: Samy Alami, Abdeslam Elakkad, Jawad El-Mekaoui, Ahmed Elkhalfi, Mohammed El Hammoumi

  KEYWORDS: Stokes Equations, Finite Element Method, Iterative Solvers, Adina System

  JOURNAL NAME: World Journal of Mechanics, Vol.1 No.6, December 26, 2011

  ABSTRACT: In this work, a numerical solution of the incompressible Stokes equations is proposed. The method suggested is based on an algorithm of discretization by the unstable of Q1 – P0 velocity/pressure ?nite element approximation. It is shown that the inf-sup stability constant is O(h) in two dimensions and O( h2) in three dimensions. The basic tool in the analysis is the method of modi?ed equations which is applied to ?nite difference representations of the underlying ?nite element equations. In order to evaluate the performance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like Adina system.