Verfürth, R.
Finite element approximation of steady Navier-Stokes equations with mixed boundary conditions
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 19 (1985) no. 3 , p. 461-475
Zbl 0579.76024 | MR 807327 | 1 citation dans Numdam
URL stable : http://www.numdam.org/item?id=M2AN_1985__19_3_461_0

Bibliographie

1. I. Babuska, The theory of small changes in the domain of existence in the theory of partial differential equations and its applications. In : Differential Equations and their Applications. Academic Press, New York, 1963. MR 170133 | Zbl 0156.10301

2. J. Bemelmans, Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung. Analysis 1, 241-282 (1981). MR 727877 | Zbl 0561.76042

3. J. Bemelmans, Liquid drops in viscous fluid under the influence of gravity and surface tension. Manuscripta Math. 36, 105-123 (1981). MR 637857 | Zbl 0478.76118

4. M. Bercovier, O. Pironneau, Error estimates for finite element method solution of the Stokes problem in the primitive variables. Numer. Math. 33, 211-224 (1979). MR 549450 | Zbl 0423.65058

5. F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO Anal. Numér. 8 (R-2), 129-151 (1974). Numdam | MR 365287 | Zbl 0338.90047

6. Ph. G. Ciarlet, The finite element method for elliptic problems. North Holland, New York, 1980. MR 608971 | Zbl 0511.65078

7. V. Girault, P.-A. Raviart, Finite element approximation of the Navier-Stokes equations. Springer, Berlin, 1979. MR 548867 | Zbl 0413.65081

8. P. Letallec, A mixed finite element approximation of the Navier-Stokes equations. Numer. Math. 35, 381-404 (1980). MR 593835 | Zbl 0503.76033

9. V.A. Solonnikov, V. E. Scadllov, On a boundary value problem for a siationary system of Navier-Stokes equations. Proc. Steklov. Inst. Math. 125, 186-199 (1973). Zbl 0313.35063

10. R. Verfürth, Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO 18, 175-182 (1984). Numdam | MR 743884 | Zbl 0557.76037