Free Access
Issue
ESAIM: M2AN
Volume 30, Number 5, 1996
Page(s) 637 - 667
DOI https://doi.org/10.1051/m2an/1996300506371
Published online 31 January 2017
  1. M. AZAIEZ, C. BERNARDI and M. GRUNDMANN, 1993, Méthodes spectrales pour les équations du milieu poreux, R 93029, Laboratoire d'Analyse Numérique, Paris VI.
  2. J. B. BELL, P. COLELLA and H. M. GLAZ, 1989, A second order projection method for the incompressible Navier-Stokes equations, J. of Comput. Phys., 85, pp. 257-283. [MR: 1029192] [Zbl: 0681.76030]
  3. M. BERCOVIER, O. PIRONNEAU, 1979, Error estimates for finite element solution of the Stokes problem in the primitive variables, Numer. Math., 33, pp. 211-224. [EuDML: 132638] [MR: 549450] [Zbl: 0423.65058]
  4. C. BERNARDI, Y. MADAY, 1992, Approximations spectrales des problèmes aux limites elliptiques, Mathématiques et Applications, 10, Springer-Verlag. [MR: 1208043] [Zbl: 0773.47032]
  5. F. BREZZI, 1974, On the existence uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, R.A.I.R.O., R.2, pp. 129-151. [EuDML: 193255] [MR: 365287] [Zbl: 0338.90047]
  6. J. CAHOUET, J.- P. CHABARD, 1988, Some fast 3-D finite element solvers for generahzed Stokes problem, Int. J. Num. Meth. in Fluids, 8, pp. 269-295. [MR: 953141] [Zbl: 0665.76038]
  7. C. CANUTO, A. QUARTERONI, 1982, Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38, pp. 67-86. [MR: 637287] [Zbl: 0567.41008]
  8. A. CHORIN, 1968, Numerical simulation of the Navier-Stokes equations, Math. Comp., 22, pp. 745-762. [MR: 242392] [Zbl: 0198.50103]
  9. J. DONEA, S. GlULIANI, H. LAVAL, L. QUARTAPELLE, 1982, Finite element solution of the unsteady Navier-Stokes equations by a fractional step method, Comput. Meths. Appl. Mech. Engrg., 30, pp. 53-73. [Zbl: 0481.76037]
  10. V. GIRAULT and P.-A. RAVIART, 1986, Finite Element Methods for Navier-Stokes Equations, Springer Series in Computational Mathematics, 5, Springer-Verlag. [MR: 851383] [Zbl: 0585.65077]
  11. K. GODA, 1979, A multistep technique with implicit difference schemes for calculating two-or three-dimensional cavity flows, J. of Comput. Phys., 30, pp. 76-95. [Zbl: 0405.76017]
  12. P. M. GRESHO and S. T. CHAN, 1990, On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via finite element method that also introduces a nearly consistent mass matrix. Part I and Part II, Int. J. Numer. Methods Fluids, 11, pp. 587-620. [MR: 1074825] [Zbl: 0712.76035]
  13. J.- L. GUERMOND, 1994, Sur l'approximation des équations de Navier-Stokes instationnaires par une méthode de projection, C. R. Acad. Sc. Paris, Série I, 319, pp. 887-892. [MR: 1300962] [Zbl: 0813.76066]
  14. J.-L. GUERMOND, 1994, Perturbations singulières des problèmes de point selle et préconditionnement du problème de Stokes, Modél. Math. Anal. Numér., 28, 3, pp. 357-374. [EuDML: 193743] [MR: 1275349] [Zbl: 0822.65090]
  15. J.-L. GUERMOND, 1994, Remarques sur les méthodes de projection pour l'approximation des équations de Navier-Stokes, Numer. Math., 67, pp. 465-473. [MR: 1274442] [Zbl: 0802.76057]
  16. J.- L. GUERMOND and L. QUARTAPELLE, 1995, On the approximation of the unsteady Navier Stokes equations by finite element projection methods, submitted to Numer. Math. and LIMSI reports 95-06, 95-14. [MR: 1645029] [Zbl: 0914.76051]
  17. G. LABADIE, P. LASBLEIZ, 1983, Quelques méthodes de résolution du problème de Stokes en éléments finis, E. D. F. rapport HE41/83. 01.
  18. J.-L. LIONS and E. MAGENES, 1968, Problèmes aux limites non homogènes et applications, Dunod, Paris [Zbl: 0165.10801]
  19. L. QUARTAPELLE, 1993, Numerical solution of the incompressible Navier-Stokes equations, ISNM 113, Birkhäuser, Basel. [MR: 1266843] [Zbl: 0784.76020]
  20. R. RANNACHER, 1992, On Chorin's projection method for the incompressible Navier-Stokes equations, Lectures Notes in Mathematics, 1530, Springer, Berlin, pp. 167-183. [MR: 1226515] [Zbl: 0769.76053]
  21. J. SHEN, 1992, On error estimates of projection methods for Navier-Stokes equations : first-order schemes, SIAM J. Numer. Anal., 29, 1, pp. 57-77. [MR: 1149084] [Zbl: 0741.76051]
  22. R. TEMAM, 1977, Navier-Stokes Equations, Studies in Mathematics and its Applications, 2, North-Holland. [MR: 609732] [Zbl: 0383.35057]
  23. R. TEMAM, 1968, Une méthode d'approximation de la solution des équations de Navier-Stokes, Bull. Soc. Math. France, 98, pp. 115-152. [EuDML: 87104] [MR: 237972] [Zbl: 0181.18903]
  24. R. TEMAM, 1991, Remark on the pressure boundary condition for the projection method, Theoret. Comput. Fluid Dynamics, 3, pp. 181-184. [Zbl: 0738.76054]
  25. J. VAN KAN, 1986, A second-order accurate pressure-correction scheme for viscous incompressible flow, SIAM J. Sci. Stat. Comput., 7, 3, pp. 870-891. [MR: 848569] [Zbl: 0594.76023]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you