@article{M2AN_1999__33_1_169_0, author = {Guermond, Jean-Luc}, title = {Un r\'esultat de convergence d'ordre deux en temps pour l'approximation des \'equations de {Navier-Stokes} par une technique de projection incr\'ementale}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {169--189}, publisher = {EDP-Sciences}, volume = {33}, number = {1}, year = {1999}, mrnumber = {1685751}, zbl = {0921.76123}, language = {fr}, url = {http://archive.numdam.org/item/M2AN_1999__33_1_169_0/} }
TY - JOUR AU - Guermond, Jean-Luc TI - Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1999 SP - 169 EP - 189 VL - 33 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/item/M2AN_1999__33_1_169_0/ LA - fr ID - M2AN_1999__33_1_169_0 ER -
%0 Journal Article %A Guermond, Jean-Luc %T Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale %J ESAIM: Modélisation mathématique et analyse numérique %D 1999 %P 169-189 %V 33 %N 1 %I EDP-Sciences %U http://archive.numdam.org/item/M2AN_1999__33_1_169_0/ %G fr %F M2AN_1999__33_1_169_0
Guermond, Jean-Luc. Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale. ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 1, pp. 169-189. http://archive.numdam.org/item/M2AN_1999__33_1_169_0/
[1] On the existence and regularity of the solution of Stokes problem in arbitrary dimension. Proc. Japan Acad. 67 (1991) 171-175. | MR | Zbl
and ,[2] The finite element method with Lagragian multipliers. Numer. Math. 20 (1973) 179-192. | EuDML | MR | Zbl
,[3] A conforming finite element method for the time-dependent Navier-Stokes equations. SIAM J. Numer. Anal. 22 (1985) 455-473. | MR | Zbl
and ,[4] Analyse fonctionnelle, théorie et applications. Masson, Paris (1983). | MR | Zbl
,[5] On the existence uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO R2 (1974) 129-151. | EuDML | Numdam | MR | Zbl
,[6] Su un problema al contorno relativo al sistema di equazioni di Stokes. Rend. Sem. Mat. Univ. Padova 31 (1961) 308-340. | EuDML | Numdam | MR | Zbl
,[7] Numerical solution of the Navier-Stokes equations Math. Comp 22 (1968) 745-762. | MR | Zbl
,[8] On the convergence of discrete approximations to the Navier-Stokes equations. Math. Comp. 23 (1969) 341-353. | MR | Zbl
,[9] Finite Element Methods for Navier-Stokes Equations. Springer Series in Computational Mathematics 5 Springer-Verlag (1986). | MR | Zbl
and ,[10] A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows J.Comput. Phys. 30 (1979) 76-95. | Zbl
,[11] Some practical implementations of projection methods for Navier-Stokes equations. RAIRO Modél. Math.Anal. Numér. 30 (1996) 637-667. | Numdam | MR | Zbl
,[12] Sur l'approximation des équations de Navier-Stokes instationnaires par une méthode de projection. C. R.Acad. Sci. Paris 319 (1994) 887-892. | MR | Zbl
,[13] Unconditionally stable Finite-Element Method for the unsteady Navier-Stokes equations, 9th International Conference on Finite Element in Fluids. Venezia, Italy, October 1995 I 367-376.
and ,[14] Calculation of incompressible viscous flows by an unconditionally stable projection finite element method. J. Comput. Phys. 132 (1997) 12-33. | MR | Zbl
and ,[15] On the approximation of the Navier-Stokes equations by finite element projection methods Numer. Math. 80 (1998) 207-238. | MR | Zbl
and ,[16] Finite element approximation of the nonstationary Navier-Stokes problem, I, II, III, and IV. SIAM J. Numer. Anal. 19 (1982) 275-311, 23 (1986) 750-777; 25 (1988) 489-512, 27 (1990) 353-384. | Zbl
and ,[17] Numerical Solution of the Incompressible Navier-Stokes Equations, ISNM 113 Birkhâuser, Basel (1993). | MR | Zbl
,[18] Numerical Approximation of Partial Differential Equations. Springer Series in Computational Mathematics, Vol. 5, Springer-Verlag (1994). | MR | Zbl
and ,[19] On Chorin's projection method for the incompressible Navier-Stokes equations. Lectures Notes in MathematicsSpringer, Berlin (1992) 167-183. | MR | Zbl
,[20] Navier-Stokes Equations. Studies in Mathematics and its Applications, Vol 2. North-Holland (1977). | MR | Zbl
,[21] Une méthode d'approximation de la solution des équations de Navier-Stokes. Bull. Soc. Math. France 98 (1968)115-152. | Numdam | MR | Zbl
,[22] A second-order accurate pressure-correction scheme for viscous incompressible flow. SIAM J. Sci. Stat. Comput. 7 (1986) 870-891. | MR | Zbl
,