Une norme « naturelle » pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D
Baranger, J. ; Machmoum, A.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 30 (1996), p. 549-574 / Harvested from Numdam
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@article{M2AN_1996__30_5_549_0,
     author = {Baranger, J. and Machmoum, A.},
     title = {Une norme \guillemotleft{} naturelle \guillemotright{} pour la m\'ethode des caract\'eristiques en \'el\'ements finis discontinus : cas 1-D},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {30},
     year = {1996},
     pages = {549-574},
     mrnumber = {1411391},
     zbl = {0862.65050},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/M2AN_1996__30_5_549_0}
}

Baranger, J.; 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, Tome 30 (1996) pp. 549-574. http://gdmltest.u-ga.fr/item/M2AN_1996__30_5_549_0/

[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. | MR 1182509 | Zbl 0761.76032

[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. | MR 706421 | Zbl 0508.76049

[3] A. Bermudez, J. Durany, 1987, La méthode des caractéristiques pour les problèmes de convection-diffusion stationnaires, M2AN, 21, n° 1, pp. 7-26. | Numdam | MR 882685 | Zbl 0613.65121

[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. | Numdam | MR 1025073 | Zbl 0687.65088

[5] V. Girault, P. A. Raviart, 1986, Finite element method for Navier Stokes equations, Theory and Algorithms, Berlin Heidelberg New York, Springer. | MR 851383 | Zbl 0585.65077

[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. | MR 815828 | Zbl 0618.65105

[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. | MR 658142 | Zbl 0341.65076

[8] J. E. Marsden and T. J. R. Hughes, 1983, Mathematical foundations of Elasticity, Prentice-Hall. | Zbl 0545.73031

[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. | MR 1083327 | Zbl 0729.65085