@article{M2AN_1987__21_4_581_0,
author = {Brezzi, Franco and Douglas, Jim Jr. and Fortin, Michel and Marini, L. Donatella},
title = {Efficient rectangular mixed finite elements in two and three space variables},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {21},
year = {1987},
pages = {581-604},
mrnumber = {921828},
zbl = {0689.65065},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1987__21_4_581_0}
}
Brezzi, Franco; Douglas, Jim Jr.; Fortin, Michel; Marini, L. Donatella. Efficient rectangular mixed finite elements in two and three space variables. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 21 (1987) pp. 581-604. http://gdmltest.u-ga.fr/item/M2AN_1987__21_4_581_0/
[1] and , Mixed and nonconforming finite element methods : implementation, postprocessing, and error estimates, R. A. I. R. O. Mathematical Modelling and Numerical Analysis 19 (1985), pp. 7-32. | Numdam | MR 813687 | Zbl 0567.65078
[2] , The finite element with Lagrangian multipliers, Numer. Math. 20 (1973), pp. 179-192. | MR 359352 | Zbl 0258.65108
[3] and , Higher order local acuracy by averaging in the finite element method, Math. of Comp. 31 (1977), pp. 94-111. | MR 431744 | Zbl 0353.65064
[4] and , Estimates for spline projections, R.A.I.R.O. Anal. numér. 10 (1976), pp. 5-37. | Numdam | MR 436620 | Zbl 0343.65045
[5] , On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers, R.A.I.R.O. Anal. numér. R2 (1974), pp. 129-151. | Numdam | MR 365287 | Zbl 0338.90047
[6] ,, and , Mixed finite elements for second order elliptic problems in three variables, to appear in Numer. Math. | MR 890035 | Zbl 0631.65107
[7] , and , Two families of mixed finite elements for second order elliptic problems, Numer. Math. 47 (1985), pp. 217-235. | MR 799685 | Zbl 0599.65072
[8] , and , Variable degree mixed methods for second order elliptic problems, Matematica Aplicada e Computacional 4 (1985), pp. 19-34. | MR 808322 | Zbl 0592.65073
[9] , Alternating-direction iterative schemes for mixed finite element methods for second order elliptic problems, Thesis, University of Chicago, 1982.
[10] , Alternating direction methods for three space variables, Numer. Math. 4 (1962), pp. 42-65. | MR 136083 | Zbl 0104.35001
[11] , and , Formulation of alternating-direction iterative methods for mixed methods in three space, to appear in the proceedings of the Symposium Internacional de Analisis Numérico, Madrid, September 1985. | MR 899777 | Zbl 0609.65071
[12] , and , Alternating-direction iteration for mixed finite element methods, to appear in Computing Methods in Applied Science and Engineering VII (R. Glowinski and J. L. Lions, eds.), North-Holland, 1986. | MR 905295 | Zbl 0677.65105
[13] and , Interior and superconvergence estimates for mixed methods for second order elliptic problems, R.A.I.R.O. Mathematical Modelling and Numerical Analysis 19 (1985), pp. 397-428. | Numdam | MR 807324 | Zbl 0613.65110
[14] and , A description of some alternating-direction iterative techniques for mixed finite element methods, to appear in the proceedings of a SIAM/SEG/SPE conference, Houston, January 1985.
[15] and , private communication.
[16] and , Global estimates for mixed methods for second order elliptic equations, Math. of Comp. 44 (1985), pp. 39-52. | MR 771029 | Zbl 0624.65109
[17] , An analysis of the convergence of mixed finite element methods, R.A.I.R.O. Anal, numér. 11 (1977), pp. 341-354. | Numdam | MR 464543 | Zbl 0373.65055
[18] , Displacement and equilibrium models in the finite element method, Stress Analysis (O. C. Zienkiewicz and G. Holister, eds.), Wiley, New York, 1965.
[19] , Stress function approach, World Congress on the Finite Element Method in Structural Mechanics, Bournemouth, 1975.
[20] Handbook of Mathematical Functions (M. Abromowitz and I. Stegun, eds.), Chapter 22 (O. W. Hochstrasser).
[21] and , A mixed finite element method for 2nd order elliptic problems, Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics 606, Springer, Berlin-Heidelberg-New York, 1977. | MR 483555 | Zbl 0362.65089
[22] , Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes, Thèse, Université P.-et-M. Curie, Paris, 1977.