L’élément Q 1 -bulle/ Q 1

P. Mons; G. Rogé

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 4, page 507-521
  • ISSN: 0764-583X

How to cite

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Mons, P., and Rogé, G.. "L’élément $Q_1$-bulle/$Q_1$." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.4 (1992): 507-521. <http://eudml.org/doc/193674>.

@article{Mons1992,
author = {Mons, P., Rogé, G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {/bubble- element; Arnold-Brezzi-Fortin's mini-element; finite element; Stokes flow},
language = {fre},
number = {4},
pages = {507-521},
publisher = {Dunod},
title = {L’élément $Q_1$-bulle/$Q_1$},
url = {http://eudml.org/doc/193674},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Mons, P.
AU - Rogé, G.
TI - L’élément $Q_1$-bulle/$Q_1$
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 4
SP - 507
EP - 521
LA - fre
KW - /bubble- element; Arnold-Brezzi-Fortin's mini-element; finite element; Stokes flow
UR - http://eudml.org/doc/193674
ER -

References

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  1. [A] D. ARNOLD, F. BREZZI, M. FORTIN, A stable finite element for the Stokes equations, Calcolo, 21 (4), 337-344, 1984. Zbl0593.76039MR799997
  2. [BA] R. BANK, B. WELFERT, A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem, private communication, 1989. Zbl0732.65100MR1078695
  3. [BR] F. BREZZI, On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers, RAIRO, Modél. Math. Anal. Numér., R2, 129-151, 1974. Zbl0338.90047MR365287
  4. [BE] C. BERNARDI, Optimal finite element interpolation on curved domains, SIAM J. Numer. AnaL, Vol. 26, N° 5, pp. 1212-1240, 1989. Zbl0678.65003MR1014883
  5. [C] P. CLÉMENT, Approximation by finite element functions using local regularization, RAIRO, Model. Math. Anal. Numér., 9 R2, 33-76, 1975. Zbl0368.65008MR400739
  6. [F] M. FORTIN,, An analysis of the convergence of mixed finite elements methods, RAIRO, Modél. Math. Anal. Numér., 11 R3, 341-354, 1977. Zbl0373.65055MR464543
  7. [GI] V. GIRAULT, P. A. RAVIART, Finite element approximation on the Navier-Stokes equations, Lecture Notes in Math., Springer-Verlag, 1981. Zbl0441.65081MR548867
  8. [GP] R. GLOWINSKI, O. PIRONNEAU, On a mixed finite element approximation of the Stokes problem (I). Convergence of the approximate solutions. IRIA-Laboria, Numer. Math., Fev. 1979. Zbl0423.65059MR553350
  9. [T] G. TAYLOR et P. HOOD, A numerical solution of the Navier-Stokes equation using the finite element technique, Comput. and Fluids, vol. 1, N° 1, pp. 73-100. Zbl0328.76020MR339677

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