@article{M2AN_1999__33_6_1223_0, author = {Baranger, Jacques and Machmoum, Ahmed}, title = {A {\textquotedblleft}natural{\textquotedblright} norm for the method of characteristics using discontinuous finite elements : {2D} and {3D} case}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {1223--1240}, publisher = {EDP-Sciences}, volume = {33}, number = {6}, year = {1999}, mrnumber = {1736897}, zbl = {0948.65094}, language = {en}, url = {http://www.numdam.org/item/M2AN_1999__33_6_1223_0/} }
TY - JOUR AU - Baranger, Jacques AU - Machmoum, Ahmed TI - A “natural” norm for the method of characteristics using discontinuous finite elements : 2D and 3D case JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1999 SP - 1223 EP - 1240 VL - 33 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/item/M2AN_1999__33_6_1223_0/ LA - en ID - M2AN_1999__33_6_1223_0 ER -
%0 Journal Article %A Baranger, Jacques %A Machmoum, Ahmed %T A “natural” norm for the method of characteristics using discontinuous finite elements : 2D and 3D case %J ESAIM: Modélisation mathématique et analyse numérique %D 1999 %P 1223-1240 %V 33 %N 6 %I EDP-Sciences %U http://www.numdam.org/item/M2AN_1999__33_6_1223_0/ %G en %F M2AN_1999__33_6_1223_0
Baranger, Jacques; Machmoum, Ahmed. A “natural” norm for the method of characteristics using discontinuous finite elements : 2D and 3D case. ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 6, pp. 1223-1240. http://www.numdam.org/item/M2AN_1999__33_6_1223_0/
[1] Une norme naturelle pour la méthode des caractéristiques en éléments finis discontinus : cas 1-D. RAIRO Modèl. Math, Anal. Numér. 30 (1996) 549-574. | Numdam | MR | Zbl
and ,[2] Existence of approximate solutions and error bounds for viscoelastic fluid flow: Characteristics method. Comput. Methods Appl. Mech. Engrg. 148 (1997) 39-52. | MR | Zbl
and ,[3] Flows in viscoelastic fluids treated by the method of characteristics. J. Non-Newtonian Fluid Mech. 39 (1991)17-34. | Zbl
,[4] La méthode des caractéristiques pour les problèmes de convection-diffusion stationnaires. RAIRO Modél. Math. Anal Numér. 21 (1987) 7-26. | Numdam | MR | Zbl
and ,[5] Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires. RAIRO Modél Math. Anal Numér. 23 (1989) 593-596. | Numdam | MR | Zbl
and ,[6] A finite element procedure for viscoelastic flows. Int. J. Numer. Methods Fluids 7 (1987) 1035-1052. | Zbl
and ,[7] Finite element method for Navier Stokes equations, Theory and Algorithms. Springer, Berlin-Heidelberg-New York (1986). | MR | Zbl
and ,[8] An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Math. Comp. 46 (1987) 1-26. | MR | Zbl
and ,[9] 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., Academic Press (1974) 89-123. | MR | Zbl
and ,[10] Méthodes numériques pour les fluides viscoélastiques : méthode des caractéristiques pour les modèles différentiels et intégraux. Thèse, Université Lyon 1, Laboratoire d'analyse numérique (1996).
,[11] A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation. SIAM J. Numer. Anal. 26 (1991) 133-140. | MR | Zbl
,