Free Access
Volume 48, Number 4, July-August 2014
Page(s) 955 - 968
Published online 30 June 2014
  1. D.N. Arnold, F. Brezzi and M. Fortin, A stable finite element for the Stokes equations. CALCOLO 21 (1984) 337–344. [Google Scholar]
  2. I. Babuška, The finite element method with Lagrange multipliers. Numer. Math. 20 (1973) 179–192. [CrossRef] [Google Scholar]
  3. W. Bai, The quadrilateral ‘Mini’ finite element for the Stokes problem. Comput. Methods Appl. Mech. Eng. 143 (1997) 41–47. [CrossRef] [Google Scholar]
  4. F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers. RAIRO Anal. Numer. R2 8 (1974) 129–151. [Google Scholar]
  5. J. Douglas Jr., J.E. Santos, D. Sheen and X. Ye, Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. RAIRO: M2AN 33 (1999) 747–770. [CrossRef] [EDP Sciences] [Google Scholar]
  6. H. Eichel, L. Tobiska and H. Xie, Supercloseness and superconvergence of stabilized low order finite element discretization of the Stokes Problem. Math. Comput. 80 (2011) 697–722. [CrossRef] [Google Scholar]
  7. L.P. Franca, S.P. Oliveira and M. Sarkis, Continuous Q1-Q1 Stokes elements stabilized with non-conforming null edge average velocity functions. Math. Models Meth. Appl. Sci. 17 (2007) 439–459. [CrossRef] [Google Scholar]
  8. V. Girault and P.A. Raviart, Finite element methods for the Navier-Stokes equations: Theory and Algorithms. Springer-Verlag, New York (1986). [Google Scholar]
  9. C. Park and D. Sheen, P1-nonconforming quadrilateral finite element methods for second-order elliptic problems. SIAM J. Numer. Anal. 41 (2003) 624–640. [CrossRef] [MathSciNet] [Google Scholar]
  10. R. Rannacher and S. Turek, Simple nonconforming quadrilateral Stokes element. Numer. Methods Partial Differ. Eq. 8 (1992) 97–111. [Google Scholar]

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