59
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A two-level pressure stabilization method for the generalized Stokes problem

Pages 579-585 | Received 27 May 2007, Accepted 10 Jun 2007, Published online: 22 Sep 2010

References

  • Breass , D. 2001 . Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics , Cambridge, , UK : Cambridge University Press .
  • Brezzi , F. and Fortin , M. 1991 . Mixed and Hybrid Finite Element Methods , New York : Springer Verlag .
  • Hughes , T. J.R. , Franca , L. P. and Balestra , M. 1986 . A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: a stable Petrov-Galerkin formulation Stokes problem accommodating equal-order interpolations . Computer Methods in Applied Mechanics and Engineering , 59 : 85 – 99 .
  • Franca , L. P. , Hughes , T. J.R. and Stenberg , R. 1993 . “ Stabilised finite element methods ” . In Incompressible Computational Fluid Dynamics Trends and Advances , Edited by: Gunzburger , M. D. and Nicolaides , R. A. 87 – 107 . Cambridge, , UK : Cambridge University Press .
  • Douglas , J. and Wang , J. 1989 . An absolutely stabilized finite element method for the Stokes problem . Mathematics of computation , 52 : 495 – 508 .
  • Becker , R. and Braack , M. 2001 . A finite element pressure gradient stabilization for the Stokes equations based on local projections . Calcolo , 38 ( 4 ) : 173 – 199 .
  • Becker , R. and Braack , M. 2004 . “ A two-level stabilization scheme for the Navier-Stokes equations ” . In Numerical Mathematics and Advanced Applications , Edited by: Feistauer , M. , Dolejsi , V. , Knobloch , P. and Najzar , K. Berlin Heidelberg : Springer .
  • Codina , R. and Blasco , J. 1997 . A finite element formulation for the Stokes problem allowing equal order velocity-pressure interpolation . Computer Methods in Applied Mechanics and Engineering , 143 : 373 – 391 .
  • Nafa , K. Pressure stabilized finite element approximation for the generalized Stokes problem . Weinheim, Germany. Proceedings of the the International Conference on Numerical Analysis and Applied Mathematics , Edited by: Simos , T. E. and Tsitouras , Ch. pp. 161 – 163 . Wiley-VCH Verlag .
  • Nafa , K. A two-level pressure stabilization method for the generalized Stokes problem . CMMSE 2006 . September 20–24 2006 , Madrid. Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering , Edited by: Criado , R. , Estep , D. , Perez Garcia , M. A. and Vigo-Aguiar , J. pp. 486 – 489 .
  • Bonvin , J. , Picasso , M. and Stenberg , R. 2001 . GLS and EVSS methods for three field Stokes problem arising from viscoelastic flows . Computer Methods in Applied Mechanics and Engineering , 190 : 3893 – 3914 .
  • Verfurth , R. 1984 . Error estimates for a mixed finite element approximation of the Stokes problem . RAIRO Mathematical Modelling and Numerical Analysis , 18 : 175 – 182 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.