A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
ESAIM: Modélisation mathématique et analyse numérique, Tome 23 (1989) no. 4, pp. 627-647.
@article{M2AN_1989__23_4_627_0,
     author = {Schieweck, F. and Tobiska, L.},
     title = {A nonconforming finite element method of upstream type applied to the stationary {Navier-Stokes} equation},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {627--647},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {23},
     number = {4},
     year = {1989},
     mrnumber = {1025076},
     zbl = {0681.76032},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1989__23_4_627_0/}
}
TY  - JOUR
AU  - Schieweck, F.
AU  - Tobiska, L.
TI  - A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1989
SP  - 627
EP  - 647
VL  - 23
IS  - 4
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://archive.numdam.org/item/M2AN_1989__23_4_627_0/
LA  - en
ID  - M2AN_1989__23_4_627_0
ER  - 
%0 Journal Article
%A Schieweck, F.
%A Tobiska, L.
%T A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1989
%P 627-647
%V 23
%N 4
%I AFCET - Gauthier-Villars
%C Paris
%U http://archive.numdam.org/item/M2AN_1989__23_4_627_0/
%G en
%F M2AN_1989__23_4_627_0
Schieweck, F.; Tobiska, L. A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation. ESAIM: Modélisation mathématique et analyse numérique, Tome 23 (1989) no. 4, pp. 627-647. http://archive.numdam.org/item/M2AN_1989__23_4_627_0/

[1] P. G. Ciarlet, The finite element method for elliptic problems, North-Holland-Publ. Comp., Amsterdam/New York, 1978. | MR | Zbl

[2] M. Crouzeix, P. A. Raviart, Conforming and Nonconforming Finite Element Methods for Solving the Stationary Stokes Equations RAIRO Numer. Anal. 3 (1973), 33-76. | Numdam | MR | Zbl

[3] M. Fortin, Résolution numérique des équations de Navier-Stokes par des méthodes d'éléments finis de type mixte, Proc. 2 Int. Symp. Finite Elements in Flow Problems, S. Margherita Ligure, Italy (1978).

[4] V. Girault, P.-A. Raviart, Finite Element Approximation of the Navier-Stokes Equations, Lect. Notes in Math., vol. 749, Springer Verlag, Berlin, Heidelberg, New York 1981. | MR | Zbl

[5] V. Girault, P. A. Raviart, An analysis of upwind schemes for the Navier-Stokes equations, SIAM J. Numer. Anal. 19 (1982) 2, 312-333. | MR | Zbl

[6] J. Heywood, R. Rannacher, Finite element approximation of the nonstationary Navier-Stokes problem I. Regularity of solutions and second order estimates for spatial discretization, SIAM J. Numer. Anal. 19 (1982) 2, 275-311. | MR | Zbl

[7] P. Jamet, P. A. Raviart, Numerical solution of the stationary Navier-Stokes equations by finite element methods, Computing Methods in Applied Sciences and Engineering, Part 1, Lecture Notes in Computer Sciences 10 (1974), Springer Verlag. | MR | Zbl

[8] P. Lesaint, P. A. Raviart, On a finite element method for solving the Neutron transport equation, in : Mathematical Aspects of Finite Elements in Partial Differential Equations (ed. by C. de Boor), Academic press, 1974. | Zbl

[9] K. Ohmori, T. Ushijima, A Technique of Upstream Type Applied to a Linear Nonconforming Finite Element Approximation of Convective Diffusion Equations, RAIRO Numer. Anal. 18 (1984), 309-332. | Numdam | MR | Zbl

[10] F. Schieweck, L. Tobiska, Eine upwind FEM zur Loesung des stationaeren Navier-Stokes-Problems. WZ TU Magdeburg 31 (1987) 5, 73-76. | MR | Zbl

[11] R. Temam, Navier-Stokes Equations. Theory and Numerical Analysis, North. Holland Publ. 1979. | MR | Zbl