Une norme « naturelle » pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D

J. Baranger; A. Machmoum

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1996)

  • Volume: 30, Issue: 5, page 549-574
  • ISSN: 0764-583X

How to cite

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Baranger, J., and Machmoum, A.. "Une norme « naturelle » pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 30.5 (1996): 549-574. <http://eudml.org/doc/193815>.

@article{Baranger1996,
author = {Baranger, J., Machmoum, A.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {natural norm; discontinuous finite elements; Galerkin method; method of characteristics; convergence},
language = {fre},
number = {5},
pages = {549-574},
publisher = {Dunod},
title = {Une norme « naturelle » pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D},
url = {http://eudml.org/doc/193815},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Baranger, J.
AU - Machmoum, A.
TI - Une norme « naturelle » pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1996
PB - Dunod
VL - 30
IS - 5
SP - 549
EP - 574
LA - fre
KW - natural norm; discontinuous finite elements; Galerkin method; method of characteristics; convergence
UR - http://eudml.org/doc/193815
ER -

References

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  1. [1] J. BARANGER, D. SANDRI, 1992, Finite element approximation of viscoelastic fluid flow : existence of solutions and error bounds. I-Discontinuous contraints, Numer. Math, 63, pp. 13-27. Zbl0761.76032MR1182509
  2. [2] J. P. BENQUÉ, G. LABADIE and J. RONAT, 1982, A new finite element method for Navier Stokes equation coupled with a temperature equation, Proc. 4th. Int. Symp on FEM in flow problems (Ed. T. Kawai), North-Holland, Amsterdam, pp. 295-301. Zbl0508.76049MR706421
  3. [3] A. BERMUDEZ, J. DURANY, 1987, La méthode des caractéristiques pour les problèmes de convection-diffusion stationnaires, M2AN, 21, n° 1, pp. 7-26. Zbl0613.65121MR882685
  4. [4] M. FORTIN, A. FORTIN, Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires, M2AN, 23, n° 4, pp. 593-596. Zbl0687.65088MR1025073
  5. [5] V. GIRAULT, P. A. RAVIART, 1986, Finite element method for Navier Stokes equations, Theory and Algorithms, Berlin Heidelberg New York, Springer. Zbl0585.65077MR851383
  6. [6] C. JOHNSON, J. PITKARANTA, 1987, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math of Comp, 46, pp. 1-26. Zbl0618.65105MR815828
  7. [7] P. LESAINT, P. A. RAVIART, 1974, On a finite element method for solving the neutron transport equations, in Mathematical aspects of finite element in partial differential equations (C. de Boor ed.), pp. 89-123. Academic Press. Zbl0341.65076MR658142
  8. [8] J. E. MARSDEN and T. J. R. HUGHES, 1983, Mathematical foundations of Elasticity, Prentice-Hall. Zbl0545.73031
  9. [9] T. E. PATERSON, A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation, SIAM J. Numer. Anal., 26, pp. 133-140. Zbl0729.65085MR1083327

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