no. 4
Spectral-finite element method for compressible fluid flows
ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 4, pp. 469-491 
@article{M2AN_1992__26_4_469_0,
     author = {Guo, B.-Y. and Cao, W.-M.},
     title = {Spectral-finite element method for compressible fluid flows},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {469--491},
     year = {1992},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {26},
     number = {4},
     mrnumber = {1163977},
     zbl = {0747.76064},
     language = {en},
     url = {https://www.numdam.org/item/M2AN_1992__26_4_469_0/}
}
TY  - JOUR
AU  - Guo, B.-Y.
AU  - Cao, W.-M.
TI  - Spectral-finite element method for compressible fluid flows
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1992
SP  - 469
EP  - 491
VL  - 26
IS  - 4
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - https://www.numdam.org/item/M2AN_1992__26_4_469_0/
LA  - en
ID  - M2AN_1992__26_4_469_0
ER  - 
%0 Journal Article
%A Guo, B.-Y.
%A Cao, W.-M.
%T Spectral-finite element method for compressible fluid flows
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1992
%P 469-491
%V 26
%N 4
%I AFCET - Gauthier-Villars
%C Paris
%U https://www.numdam.org/item/M2AN_1992__26_4_469_0/
%G en
%F M2AN_1992__26_4_469_0
Guo, B.-Y.; Cao, W.-M. Spectral-finite element method for compressible fluid flows. ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 4, pp. 469-491. https://www.numdam.org/item/M2AN_1992__26_4_469_0/

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

[2] T. Atusi, The existence and uniqueness of the solution of equations describing compressible viscous fluid flow in a domain, Proc. Japan Acad., 52 (1976), 334-337. | Zbl | MR

[3] B.-Y. Guo, Difference Methods for Partial Differential Equation, Science Press, Beijing, 1988.

[4] P.-Y Kuo, Résolution numérique de fluide compressible, C.R. Acad. Sci. Paris, 291A (1980), 167-171. | Zbl | MR

[5] B.-Y. Guo, Strict error estimation of numerical solution of compressible flow in two-dimensional space, Sciential Sinica, 26A (1983), 482-498. | Zbl | MR

[6] T. J. Chung, Finite Element Analysis in Fluid Dynamics, McGraw-Hill International Book Company, 1978. | Zbl | MR

[7] B.-Y. Guo, H.-P. Ma, Strict error estimation for a spectral method of compressible fluid flow, CalColo, 24 (1987), 263-282. | Zbl | MR

[8] C. Canuto Y. Maday, A. Quarteroni, Analysis of the combined finite element and Fourier interpolation, Numer. Math., 39 (1982), 205-220. | Zbl | MR

[9] C. Canuto, Y. Maday, A. Quarteroni, Combined finite element and spectral approximation of the Navier-Stokes equations, Numer. Math., 44 (1984), 201-217. | Zbl | MR

[10] B.-Y. Guo, Spectral-difference method for solving two-dimensional vorticity equations, J. Comput. Math., 6 (1988), 238-257. | Zbl | MR

[11] B.-Y. Guo, W.-M. Cao, Spectral-finite element method for solving two dimensional vorticity equations, Acta Math, Appl. Sinica, 7 (1991), 257-271. | Zbl | MR

[12] W.-M Cao, B.-Y. Guo, Spectral-finite element method for solving three- dimensioanl vorticity equations, Bulletin, 32 (1991), 83-108. | Zbl | MR

[13] B.-Y. Guo, W.-M. Cao, Spectral-finite element method for solving two-dimensional Navier-Stokes equations, accepted by J. Comp. Phys. | Zbl

[14] R. A. Adams, Sobolev Spaces, Academic Press, New York, 1975. | Zbl | MR

[15] P. Grisvard, Equations différentielles abstraites, Ann. Sci. École Norm. Sup., 4 (1969), 311-395. | Zbl | MR | Numdam

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

[17] A. Schatz, V. Thomée, L. B. Wahlbin, Maximum norm stability and error estimates in parabolic finite element equations, Commun. Pure Appl. Math., 33 (1980), 265-304. | Zbl | MR