Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique

Hervé Vandeven

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 4, page 649-688
  • ISSN: 0764-583X

How to cite

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Vandeven, Hervé. "Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.4 (1989): 649-688. <http://eudml.org/doc/193584>.

@article{Vandeven1989,
author = {Vandeven, Hervé},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {compatibility problem; discrete spaces; spectral approximations; Stokes problem},
language = {fre},
number = {4},
pages = {649-688},
publisher = {Dunod},
title = {Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique},
url = {http://eudml.org/doc/193584},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Vandeven, Hervé
TI - Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 4
SP - 649
EP - 688
LA - fre
KW - compatibility problem; discrete spaces; spectral approximations; Stokes problem
UR - http://eudml.org/doc/193584
ER -

References

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  1. [1] C. BERNARDI, C. CANUTO & Y. MADAY, Generalized Inf-Sup Conditionfor Chebyshev Approximation of the Navier-Stokes Equations, à paraître dans SIAM J. Numer. Anal. Zbl0666.76055
  2. [2] C. BERNARDI, Y. MADAY & B. MÉTIVET, Spectral Approximation of the Periodic Nonperiodic Navier-Stokes Equations (to appear in Numer. Math.). Zbl0583.65085MR914344
  3. [3] C. BERNARDI, Y. MADAY & B. MÉTIVET, Calcul de la pression dans la résolution spectrale du problème de Stokes, La Recherche Aérospatiale 1 (1987), 1-21. Zbl0642.76037MR904608
  4. [4] F. BREZZI, On the Existence, Uniqueness and Approximation of Saddle-Point problems Arising from Lagrange Multipliers, RAIRO Anal. Numér. 8 (1974), 129-151. Zbl0338.90047MR365287
  5. [5] C. CANUTO & A. QUARTERONI, Approximation Results for Orthogonal Potynomials in Sobolev Spaces, Math, of Comp. 38 (1981), 67-86. Zbl0567.41008MR637287
  6. [6] C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI & T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag in press (1987). Zbl0658.76001MR917480
  7. [7] P. J. DAVIS & P. RABINOWITZ, Methods of Numerical Integration, Academic Press (1985). Zbl0537.65020MR760629
  8. [8] V. GIRAULT & P.-A. RAVIART, Finite Element Approximation of the Navier-Stokes Equations, Theory and Algorithms, Springer-Verlag (1986). Zbl0413.65081MR851383
  9. [9] M. R. MALIK, T. A. ZANG & M. Y. HUSSAINI, A Spectral Collocation Method for the Navier-Stokes Equations, Icase Report n° 84-19 (1984). Zbl0573.76036

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