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All issues Volume 42 / No 1 (January-February 2008) ESAIM: M2AN, 42 1 (2008) 141-174 References
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Issue
ESAIM: M2AN
Volume 42, Number 1, January-February 2008
Page(s) 141 - 174
DOI https://doi.org/10.1051/m2an:2007056
Published online 12 January 2008
  1. H. Abboud, V. Girault and T. Sayah, Two-grid finite element scheme for the fully discrete time-dependent Navier-Stokes problem. C. R. Acad. Sci. Paris, Ser. I 341 (2005). [Google Scholar]
  2. H. Abboud, V. Girault and T. Sayah, Second-order two-grid finite element scheme for the fully discrete transient Navier-Stokes equations. Preprint, http://www.ann.jussieu.fr/publications/2007/R07040.html. [Google Scholar]
  3. R.-A. Adams, Sobolev Spaces. Academic Press, New York (1975). [Google Scholar]
  4. D. Arnold, F. Brezzi and M. Fortin, A stable finite element for the Stokes equations. Calcolo 21 (1984) 337–344. [Google Scholar]
  5. P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North-Holland Publishing Company, Amsterdam, New York, Oxford (1978). [Google Scholar]
  6. V. Girault and J.-L. Lions, Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra. Portugal. Math. 58 (2001) 25–57. [Google Scholar]
  7. V. Girault and J.-L. Lions, Two-grid finite-element schemes for the transient Navier-Stokes equations. ESAIM: M2AN 35 (2001) 945–980. [CrossRef] [EDP Sciences] [Google Scholar]
  8. V. Girault and P.-A. Raviart, Finite Element Methods for the Navier-Stokes Equations. Theory and Algorithms, in Springer Series in Computational Mathematics 5, Springer-Verlag, Berlin (1986). [Google Scholar]
  9. P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman Monographs and Studies in Mathematics 24. Pitman, Boston, (1985). [Google Scholar]
  10. F. Hecht and O. Pironneau, FreeFem++. See: http://www.freefem.org. [Google Scholar]
  11. O.A. Ladyzenskaya, The Mathematical Theory of Viscous Incompressible Flow. (In Russian, 1961), First English translation, Gordon & Breach, New York (1963). [Google Scholar]
  12. W. Layton, A two-level discretization method for the Navier-Stokes equations. Computers Math. Applic. 26 (1993) 33–38. [CrossRef] [Google Scholar]
  13. W. Layton and W. Lenferink, Two-level Picard-defect corrections for the Navier-Stokes equations at high Reynolds number. Applied Math. Comput. 69 (1995) 263–274. [Google Scholar]
  14. J.-L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires. Dunod, Paris (1969). [Google Scholar]
  15. J.-L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications I. Dunod, Paris (1968). [Google Scholar]
  16. J. Nečas, Les méthodes directes en théorie des équations elliptiques. Masson, Paris (1967). [Google Scholar]
  17. R. Temam, Une méthode d'approximation de la solution des équations de Navier-Stokes. Bull. Soc. Math. France 98 (1968) 115–152. [Google Scholar]
  18. M.F. Wheeler, A priori L2 error estimates for Galerkin approximations to parabolic partial differential equations. SIAM. J. Numer. Anal. 10 (1973) 723–759. [Google Scholar]
  19. J. Xu, Some Two-Grid Finite Element Methods. Tech. Report, P.S.U. (1992). [Google Scholar]
  20. J. Xu, A novel two-grid method of semilinear elliptic equations. SIAM J. Sci. Comput. 15 (1994) 231–237. [CrossRef] [MathSciNet] [Google Scholar]
  21. J. Xu, Two-grid finite element discretization techniques for linear and nonlinear PDE. SIAM J. Numer. Anal. 33 (1996) 1759–1777. [CrossRef] [MathSciNet] [Google Scholar]

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