More pressure in the finite element discretization of the Stokes problem

Christine Bernardi; Frédéric Hecht

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 5, page 953-980
  • ISSN: 0764-583X

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Bernardi, Christine, and Hecht, Frédéric. "More pressure in the finite element discretization of the Stokes problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.5 (2000): 953-980. <http://eudml.org/doc/194027>.

@article{Bernardi2000,
author = {Bernardi, Christine, Hecht, Frédéric},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Stokes problem; mixed finite element discretization; nonconforming approximation of velocity; approximation of pressure; inf-sup condition; error estimates},
language = {eng},
number = {5},
pages = {953-980},
publisher = {Dunod},
title = {More pressure in the finite element discretization of the Stokes problem},
url = {http://eudml.org/doc/194027},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Bernardi, Christine
AU - Hecht, Frédéric
TI - More pressure in the finite element discretization of the Stokes problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 5
SP - 953
EP - 980
LA - eng
KW - Stokes problem; mixed finite element discretization; nonconforming approximation of velocity; approximation of pressure; inf-sup condition; error estimates
UR - http://eudml.org/doc/194027
ER -

References

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  6. [6] P.G. Ciarlet, Basic Error Estimates for Elliptic Problems, in the Handbook of Numerical Analysis, Vol. II, P.G. Ciarlet and J.-L. Lions Eds., North-Holland, Amsterdam (1991) 17-351. Zbl0875.65086MR1115237
  7. [7] P. Clément, Développement et applications de méthodes numériques volumes finis pour la description d'écoulements océaniques. Thesis, Université Joseph Fourier, Grenoble (1996). 
  8. [8] M. Crouzeix and P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO - Anal. Numér. 7 R3 (1973) 33-76. Zbl0302.65087MR343661
  9. [9] P. Emonot, Méthodes de volumes éléments finis : application aux équations de Navier-Stokes et résultats de convergence. Thesis, Université Claude Bernard, Lyon (1992). 
  10. [10] M. Fortin, An analysis of the convergence of mixed finite element methods. RAIRO - Anal. Numér. 11 R3 (1977) 341-354. Zbl0373.65055MR464543
  11. [11] V. Girault and P.-A. Raviart, Finite Element Methods for the Navier-Stokes Equations, Theory and Algorithms. Springer-Verlag, Berlin (1986). Zbl0585.65077MR851383
  12. [12] F. Hecht, Construction d'une base d'un élément fini P1 non conforme à divergence nulle dans ℝ3. Thesis, Université Pierre et Marie Curie, Paris (1980). 
  13. [13] F. Hecht, Construction d'une base de fonctions P1 non conforme à divergence nulle dans ℝ3. RAIRO - Anal. Numér. 15 (1981) 119-150. Zbl0471.76028MR618819
  14. [14] R. Verfürth, Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO - Anal. Numér. 18 (1984) 175-182. Zbl0557.76037MR743884

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