@article{M2AN_1996__30_4_445_0,
author = {Baranger, Jacques and Maitre, Jean-Fran\c{c}ois and Oudin, Fabienne},
title = {Connection between finite volume and mixed finite element methods},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {445--465},
year = {1996},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {30},
number = {4},
mrnumber = {1399499},
zbl = {0857.65116},
language = {en},
url = {https://www.numdam.org/item/M2AN_1996__30_4_445_0/}
}
TY - JOUR AU - Baranger, Jacques AU - Maitre, Jean-François AU - Oudin, Fabienne TI - Connection between finite volume and mixed finite element methods JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1996 SP - 445 EP - 465 VL - 30 IS - 4 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1996__30_4_445_0/ LA - en ID - M2AN_1996__30_4_445_0 ER -
%0 Journal Article %A Baranger, Jacques %A Maitre, Jean-François %A Oudin, Fabienne %T Connection between finite volume and mixed finite element methods %J ESAIM: Modélisation mathématique et analyse numérique %D 1996 %P 445-465 %V 30 %N 4 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1996__30_4_445_0/ %G en %F M2AN_1996__30_4_445_0
Baranger, Jacques; Maitre, Jean-François; Oudin, Fabienne. Connection between finite volume and mixed finite element methods. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 4, pp. 445-465. https://www.numdam.org/item/M2AN_1996__30_4_445_0/
[1] , , , 1992, High order lagrangian finite volume elements for elliptic boundary value problems, Numerical Methods in Engineering 92, Ch. Hirsch et al. ed., Elsevier Science Publishers, pp. 709-713.
[2] , , , 1994, Application de la théorie des éléments finis mixtes à l'étude d'une classe de schémas aux volumes différences finis pour les problèmes elliptiques, C.R. Acad. Sci. Paris, 319, Série I, pp.401-404. | Zbl | MR
[3] , , 1991, Mixed and Hybrid Finite Element Methods, Springer Series in Computational Mathematics, 15, Springer-Verlag, New-York. | Zbl | MR
[4] , , 1972, General Lagrange and Hermite interpolation in Rn with applications to finite element methods, Arch. Rat. Mech. Anal., 46, pp. 177-199. | Zbl | MR
[5] , 1992, A control volume method to solve an elliptic equation on a two-dimensional irregular mesh, Comput. Methods Appl. Mech. Engrg,, 100, pp. 275-290. | Zbl | MR
[6] , , , 1991, Des mathématiciens découvrent les volumes finis, S.M.A.I., Matapli, Bulletin de liaison, 28.
[7] , 1991, Méthodes d'éléments finis mixtes et volumes finis, Thèse, Université Laval, Québec.
[8] , , 1988, Quadratic convergence for cell-centered grids, Applied Numerical Mathematics, 4, pp. 377-394. | Zbl | MR
[9] , 1989, On first and second order box schemes, Computing, 41, pp. 277-296. | Zbl | MR
[10] , , 1993, Condensation de la matrice de masse pour les éléments finis mixtes de H (rot), C.R. Acad. Sci. Paris, 316, Série I, pp. 509-512. | Zbl | MR
[11] , An error estimate for a finite volume scheme for a diffusion convection problem on a triangular mesh, accepted for publication in Num. Meth. P.D.E. | Zbl | MR
[12] , , 1991, Finite volume methods and their analysis, IMA Journal of Num. Anal., 11,pp. 241-260. | Zbl | MR
[13] , 1991, Notions sur les techniques d'éléments finis, Mathématiques et Applications, 7, Ellipses-Edition Marketing. | Zbl
[14] , , 1977, A mixed finite element method for second order elliptic problems, Mathematical Aspects of the Finite Element Methods (I. Galligani, E. Magenes, eds), Lectures Notes in Math., 606, Springer-Verlag, New-York. | Zbl | MR
[15] , , 1989, Mixed and hybrid methods, in Handbook of Numerical Analysis, (P. G. Ciarlet and J. L. Lions, eds.), Vol. II, Finite Element Methods (Part 1), North-Holland, Amsterdam. | Zbl | MR
[16] , 1988, On convergence of block-centered finite differences for elliptic problems, SIAM J. Numer. Anal., 25, pp.351-375. | Zbl | MR






