Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation
ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 7, pp. 873-905. 
@article{M2AN_1996__30_7_873_0,
     author = {Ben-Yu, Guo and He-Ping, Ma and Jing-Yu, Hou},
     title = {Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {873--905},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {30},
     number = {7},
     year = {1996},
     mrnumber = {1423083},
     zbl = {0869.76039},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1996__30_7_873_0/}
}
TY  - JOUR
AU  - Ben-Yu, Guo
AU  - He-Ping, Ma
AU  - Jing-Yu, Hou
TI  - Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1996
SP  - 873
EP  - 905
VL  - 30
IS  - 7
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://www.numdam.org/item/M2AN_1996__30_7_873_0/
LA  - en
ID  - M2AN_1996__30_7_873_0
ER  - 
%0 Journal Article
%A Ben-Yu, Guo
%A He-Ping, Ma
%A Jing-Yu, Hou
%T Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1996
%P 873-905
%V 30
%N 7
%I AFCET - Gauthier-Villars
%C Paris
%U http://www.numdam.org/item/M2AN_1996__30_7_873_0/
%G en
%F M2AN_1996__30_7_873_0
Ben-Yu, Guo; He-Ping, Ma; Jing-Yu, Hou. Chebyshev pseudospectral-hybrid finite element method for two-dimensional vorticity equation. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 7, pp. 873-905. http://www.numdam.org/item/M2AN_1996__30_7_873_0/

[1] P. J. Roach, 1976, Computational Fluid Dynamics, 2'nd edition, Hermosa Publishers, Albuquerque. | MR

[2] Guo Ben-Yu, 1988, Difference Methods for Partial Differential Equations, Science Press, Beijing.

[3] J. T. Oden, O. C. Zienkiewicz, R. H. Gallagher, and C. Taylor, 1974, Finite Element Methods in Flow Problems, John Wiley, New York.

[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.

[5] C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, 1988, Spectral Methods in Fluid Dynamics, Springer Verlag, Berlin. | MR | Zbl

[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

[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

[8] J. W. Murdock, 1977, A numencal study of nonlinear effects on boundary-layer stability, AIAA Journal, 15, pp. 1167-1173.

[9] D. B. Ingham, 1985, Flow past a suddenly heated vertical plate, Proc R. Soc. London, A 402, pp. 109-134. | Zbl

[10] Guo Ben-Yu, 1987, Spectral-difference method for baroclinic primitive equation and its error estimation, Scientia Sinica, A 30, pp. 696-713. | MR | Zbl

[11] Guo Ben-Yu, 1988, Spectral-différence method for solving two-dimensional vorticity equation, J. Comp. Math., 6, pp. 238-257. | MR | Zbl

[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. | MR | Zbl

[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 | Zbl

[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 | Zbl

[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 | Zbl

[16] Guo Ben-Yu and Li Jian, 1993, Founer-Chebyshev pseudospectral method for two-dimensional voriticity equation, Numer. Math., 66, pp. 329-346. | MR | Zbl

[17] Guo Ben-Yu and He Song Nian, Chebyshev spectral-fini te element method for incompressible fluid flow (unpubhshed).

[18] J.-L. Lions, 1969, Quelques Méthodes de Résolutions des Problèmes aux Limites Non Linéaires, Paris, Dunod. | MR | Zbl

[19] P. G. Ciarlet, 1978, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam. | MR | Zbl

[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 | Zbl

[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 | Zbl

[22] C. Canuto, Y. Maday and A. Quarteroni, 1982, Analysis for the combined finite element and Founer interpolation, Numer. Math., 39, pp. 205-220. | MR | Zbl

[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 | Zbl

[24] Y. Maday and A. Quarteroni, 1981, Legendre and Chebyshev spectral approximations of Burger's equation, Numer. Math., 37, pp. 321-332. | MR | Zbl