@article{M2AN_1987__21_1_93_0, author = {Maday, Y. and M\'etivet, B.}, title = {Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {21}, year = {1987}, pages = {93-123}, mrnumber = {882688}, zbl = {0607.76024}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1987__21_1_93_0} }
Maday, Y.; Métivet, B. Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 21 (1987) pp. 93-123. http://gdmltest.u-ga.fr/item/M2AN_1987__21_1_93_0/
Sobolev spaces; Academic Press (New York, San Francisco, London) 1975. | MR 450957 | Zbl 0314.46030
, [1]Le modèle de simulation numérique de turbulence bidimensionnelle du L.M.D.; Note interne du L.M.D. n° 114 (juin 1982).
, [1]Interpolation spaces - an introduction; Springer-Verlag (Berlin, Heidelberg, New York) 1976. | MR 482275 | Zbl 0344.46071
, , [1]Generalized inf-sup. condition for Chebyshevapproximation of the Navier-Stokes equations; ICASE report 1986-63.
, , , [1]Spectral approximation of periodic/non periodic Navier-Stokes equations; to appear, in Numer. Math. | Zbl 0583.65085
, , , [1][2] Calcul de la pression dans la résolution spectrale du problème de Stokes. A paraître dans la « Recherche aérospatiale », 1986.
Méthodes d'éléments finis mixtes pour les équations de Stokes et de Navier-Stokes dans un polygone convexe; Calcolo 18-3 (1981). | MR 647827 | Zbl 0475.76035
, , [1]Combined finite element and spectral approximation of the Navier-Stokes equations Numer. Math. 44, 201-217 (1984). | MR 753953 | Zbl 0614.76021
, , , [1]Approximation Results for Orthogonal Polynomials in Sobolev Spaces, Math, of Comp. 38, (1981), 67-86. | MR 637287 | Zbl 0567.41008
, , [1]On numerical approximation of solution branches of nonlinear equations; R.A.I.R.O. Numer. Anal. 16-4, 319-350 (1982). | Numdam | MR 684829 | Zbl 0505.65016
, , [1]Pressure and time treatment of a Stokes problem, Int. Journal for Num. Methods in Fluids, 1984. | Zbl 0554.76033
, , , [1]Finite Element Approximation of the Navier-Siokes equations, Theorie and Aigorithms ; Springer-Verlag (1986). | MR 548867 | Zbl 0413.65081
, , [1]Numericol analysis of spectral methods : Theory and applications; CBMSNS F Regional Conference Series in Applied Mathematics, SIAM, Philadelphie 1977. | MR 520152 | Zbl 0412.65058
, , [1]Espaces intermédiaires entre espaces de Sobolev avec Poids; Ann.Scuola Norm. Sup. Pisa, 17, 1963. | Numdam | MR 160104 | Zbl 0117.08602
, [1]Treatment of Incompressibility and Boundary Conditions in 3-D Numerical Spectral Simulations of Plane Channel Flows, proceedings of the Third GAMM Conference on Numerical Methods in Huid Mechanics, Viewig-Verlag, Braunschweig (1980), 165-173. | Zbl 0463.76020
, , [1]Sur une méthode spectrale semi implicite pour la résolution des équations de Navier-Stokes d'un écoulement bidimensionnelvisqueux incompressible, C.R. Acad. Se. Paris, 294 (3 mai 1982), Série II, p. 941-944. | MR 668777 | Zbl 0489.76037
, , [1]Quelques méthodes de résolution de problèmes aux limites non linéaires, Dunod, 1969. | MR 259693 | Zbl 0189.40603
, [1]Analysis of spectral operators in one dimensional domain; ICASE report 1985, 17.
, [1][2] Some spectral methods concerning a 4th order l-D problem ; to appear.
[3] Pseudo-spectral operators in multi-dimensional domains-application to Navier-Stokes problem; to appear.
stimations d'erreur pour l'approximation des équations de Stokes par une méthode spectrale; la « Recherche aérospatiale », 4, (1983), p. 237 à 244. | MR 729645 | Zbl 0523.76018
, , [1]Spectral and pseudo-spectral approximations of Navier-Stokes équations; S.I.A.M. J. Numer. Anal 19(1982). | MR 664883 | Zbl 0503.76035
, , [1][2] Legendre and Chebyshev spectral approximation of Burger's équations; Numer.Math., 37 (1981). | MR 627106 | Zbl 0452.41007
[3] Approximation of Burger's equations by pseudo-spectral methods; R.A.I.R.O.An. Num. 16-4(1982).
A spectral collocation method for the Navier-Stokes equations, « ICASE Report » n° 84-19. | Zbl 0573.76036
, , , [1]Résolution des équations de Navier-Stokes par méthodes spectrales. Thèse, Université P. & M. Curie (1987).
, [1]Multy domain spectral technique for viscous flow calculations. « ONERA » T. P, n° 1981-134. | Zbl 0515.76031
, , [1]Résolution des équations de Navier-Stokes par méthode pseudo-spectrale en espace-temps; la « Recherche Aérospatiale » 5, (1979), pp. 293-306. | MR 550092 | Zbl 0418.76026
, [1]A spectral numerical method for the Navier-Stokes equations with application to Taylor Couette flow; JCP - 52(1983), pp. 524-544. | MR 727383 | Zbl 0529.76034
, , [1]Spectral methods for problems in complex geometries, J.C.P. 37 (1980), pp. 70-92. | MR 584322 | Zbl 0476.65078
, [1]Boundary Conditions for Incompressible Flows; to appear. | Zbl 0648.76023
, , , [1]Secondary instability of wall-bounded shear flows, J. Fluid Mech., 128 (1983). | Zbl 0556.76039
, , [1] , , , [1] Proc. of Symposium on Spectral methods for Partial Differential Equations, SIAM Philadelphia (1984).