Free Access
Issue
ESAIM: M2AN
Volume 23, Number 4, 1989
Page(s) 627 - 647
DOI https://doi.org/10.1051/m2an/1989230406271
Published online 31 January 2017
  1. P. G. CIARLET, The finite element method for elliptic problems, North-Holland-Publ. Comp., Amsterdam/New York, 1978. [MR: 520174] [Zbl: 0383.65058]
  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. [EuDML: 193250] [MR: 343661] [Zbl: 0302.65087]
  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: 548867] [Zbl: 0441.65081]
  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: 650053] [Zbl: 0487.76036]
  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: 650052] [Zbl: 0487.76035]
  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: 448951] [Zbl: 0285.76007]
  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: 0341.65076]
  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. [EuDML: 193436] [MR: 751761] [Zbl: 0586.65080]
  10. F. SCHIEWECK, L. TOBISKA, Eine upwind FEM zur Loesung des stationaeren Navier-Stokes-Problems. WZ TU Magdeburg 31 (1987) 5, 73-76. [MR: 951104] [Zbl: 0638.76032]
  11. R. TEMAM, Navier-Stokes Equations. Theory and Numerical Analysis, North. Holland Publ. 1979. [MR: 603444] [Zbl: 0426.35003]

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