Finite element approximation of steady Navier-Stokes equations with mixed boundary conditions

R. Verfürth

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1985)

  • Volume: 19, Issue: 3, page 461-475
  • ISSN: 0764-583X

How to cite

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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 19.3 (1985): 461-475. <http://eudml.org/doc/193456>.

@article{Verfürth1985,
author = {Verfürth, R.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {steady Navier-Stokes equations; bounded regions; smooth boundary; non- conforming mixed finite element method; unique solutions; error estimates; Babuska-type paradox},
language = {eng},
number = {3},
pages = {461-475},
publisher = {Dunod},
title = {Finite element approximation of steady Navier-Stokes equations with mixed boundary conditions},
url = {http://eudml.org/doc/193456},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Verfürth, R.
TI - Finite element approximation of steady Navier-Stokes equations with mixed boundary conditions
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 3
SP - 461
EP - 475
LA - eng
KW - steady Navier-Stokes equations; bounded regions; smooth boundary; non- conforming mixed finite element method; unique solutions; error estimates; Babuska-type paradox
UR - http://eudml.org/doc/193456
ER -

References

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  1. 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. Zbl0156.10301MR170133
  2. 2. J. BEMELMANS, Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung. Analysis 1, 241-282 (1981). Zbl0561.76042MR727877
  3. 3. J. BEMELMANS, Liquid drops in viscous fluid under the influence of gravity and surface tension. Manuscripta Math. 36, 105-123 (1981). Zbl0478.76118MR637857
  4. 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). Zbl0423.65058MR549450
  5. 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). Zbl0338.90047MR365287
  6. 6. Ph. G. CIARLET, The finite element method for elliptic problems. North Holland, New York, 1980. Zbl0511.65078MR608971
  7. 7. V. GIRAULT, P.-A. RAVIART, Finite element approximation of the Navier-Stokes equations. Springer, Berlin, 1979. Zbl0413.65081MR548867
  8. 8. P. LETALLEC, A mixed finite element approximation of the Navier-Stokes equations. Numer. Math. 35, 381-404 (1980). Zbl0503.76033MR593835
  9. 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). Zbl0313.35063
  10. 10. R. VERFÜRTH, Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO 18, 175-182 (1984). Zbl0557.76037MR743884

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