EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 30 / No 7 (1996) ESAIM: M2AN, 30 7 (1996) 873-905 References
Free Access
Issue
ESAIM: M2AN
Volume 30, Number 7, 1996
Page(s) 873 - 905
DOI https://doi.org/10.1051/m2an/1996300708731
Published online 31 January 2017
  1. P. J. ROACH, 1976, Computational Fluid Dynamics, 2'nd edition, Hermosa Publishers, Albuquerque. [MR: 411358] [Google Scholar]
  2. GUO BEN-YU, 1988, Difference Methods for Partial Differential Equations, Science Press, Beijing. [Google Scholar]
  3. J. T. ODEN, O. C. ZIENKIEWICZ, R. H. GALLAGHER, and C. TAYLOR, 1974, Finite Element Methods in Flow Problems, John Wiley, New York. [Google Scholar]
  4. P. A. RAVIART, 1979, Approximation numérique des Phénomènes de diffusion convection, in Méthodes d'éléments Finis en Mécaniques des Fluides, Cours à L'École d'été d'analyse numérique. [Google Scholar]
  5. C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI and T. A. ZANG, 1988, Spectral Methods in Fluid Dynamics, Springer Verlag, Berlin. [MR: 917480] [Zbl: 0658.76001] [Google Scholar]
  6. GUO BEN YU, 1983, The convergence of a spectral scheme for solving the two-dimensional vorticity equation, J. Comp. Math., 1, pp. 353-362. [Zbl: 0599.76030] [Google Scholar]
  7. M. A. HE PING and Guo BEN-YU, 1987, The Founer pseudospectral method for solving two-dimensional vorticity equations, IMA J. Numer. Anal., 7, pp. 47-60. [MR: 967834] [Google Scholar]
  8. J. W. MURDOCK, 1977, A numencal study of nonlinear effects on boundary-layer stability, AIAA Journal, 15, pp. 1167-1173. [Google Scholar]
  9. D. B. INGHAM, 1985, Flow past a suddenly heated vertical plate, Proc R. Soc. London, A 402, pp. 109-134. [Zbl: 0597.76087] [Google Scholar]
  10. GUO BEN-YU, 1987, Spectral-difference method for baroclinic primitive equation and its error estimation, Scientia Sinica, A 30, pp. 696-713. [MR: 1002183] [Zbl: 0634.76110] [Google Scholar]
  11. GUO BEN-YU, 1988, Spectral-différence method for solving two-dimensional vorticity equation, J. Comp. Math., 6, pp. 238-257. [MR: 967884] [Zbl: 0668.76022] [Google Scholar]
  12. C. CANUTO, Y. MADAY and A. QUARTERONI, 1984, Combined finite element and spectral approximation of the Navier-Stokes equations, Numer. Math., 44, pp. 201-217. [EuDML: 132929] [MR: 753953] [Zbl: 0614.76021] [Google Scholar]
  13. GUO BEN-YU and MA. HE-PING, 1991, A pseudospectral-finite element method for solving two-dimensional vorticity equations, SIAM J. Numer. Anal., 28, pp. 113-132. [MR: 1083326] [Zbl: 0723.76058] [Google Scholar]
  14. Guo BEN-YU and CAO WEI-MING, 1992, A combined spectral-finite element method for solving two-dimensional unsteady Navier-Stokes equations, J. Comp. Phys., 101, pp. 375-385. [MR: 1174630] [Zbl: 0758.76032] [Google Scholar]
  15. Guo BEN-YU, M.A. HEPING, CAO WEI-MING and HUANG HUI, 1992, The Founer-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations, J. Comp. Phys., 101, pp. 207-217. [MR: 1173346] [Zbl: 0757.76047] [Google Scholar]
  16. Guo BEN-YU and LI JIAN, 1993, Founer-Chebyshev pseudospectral method for two-dimensional voriticity equation, Numer. Math., 66, pp. 329-346. [EuDML: 133766] [MR: 1246961] [Zbl: 0796.76069] [Google Scholar]
  17. Guo BEN-YU and HE SONG NIAN, Chebyshev spectral-fini te element method for incompressible fluid flow (unpubhshed). [Google Scholar]
  18. J.-L. LIONS, 1969, Quelques Méthodes de Résolutions des Problèmes aux Limites Non Linéaires, Paris, Dunod. [MR: 259693] [Zbl: 0189.40603] [Google Scholar]
  19. P. G. CIARLET, 1978, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam. [MR: 520174] [Zbl: 0383.65058] [Google Scholar]
  20. MA HE-PING and GUO BEN-YU, 1988, The Chebyshev spectral method for Burgers-like equations, J. Comp. Math, 6, pp. 48-53. [MR: 958603] [Zbl: 0641.65084] [Google Scholar]
  21. C. CANUTO and A. QUARTERONI, 1984, Variational methods in the theoretical analysis of spectral approximations, in Spectral Methods for Partial Differential Equations, pp. 55-78, ed. by R. G. Voigt, D. Gottlieb and M. Y. Hussaim, SIAM-CBMS, Philadelphia. [MR: 758262] [Zbl: 0539.65080] [Google Scholar]
  22. C. CANUTO, Y. MADAY and A. QUARTERONI, 1982, Analysis for the combined finite element and Founer interpolation, Numer. Math., 39, pp. 205-220. [EuDML: 132791] [MR: 669316] [Zbl: 0496.42002] [Google Scholar]
  23. C. BERNARDI and Y. MADAY, 1989, Properties of some weighted Sobolev spaces and application to spectral approximations, SIAM J. Numer. Anal., 26, pp. 769-829. [MR: 1005511] [Zbl: 0675.65114] [Google Scholar]
  24. Y. MADAY and A. QUARTERONI, 1981, Legendre and Chebyshev spectral approximations of Burger's equation, Numer. Math., 37, pp. 321-332. [EuDML: 132733] [MR: 627106] [Zbl: 0452.41007] [Google Scholar]

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