@article{M2AN_1981__15_1_41_0, author = {Johnson, Claes and Thomee, Vidar}, title = {Error estimates for some mixed finite element methods for parabolic type problems}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {15}, year = {1981}, pages = {41-78}, mrnumber = {610597}, zbl = {0476.65074}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1981__15_1_41_0} }
Johnson, Claes; Thomee, Vidar. Error estimates for some mixed finite element methods for parabolic type problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 15 (1981) pp. 41-78. http://gdmltest.u-ga.fr/item/M2AN_1981__15_1_41_0/
1. Estimates Near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions, Comm. Pure AppL Math., Vol. 12, 1959, pp. 623-727. | MR 125307 | Zbl 0093.10401
, and ,2. Single Step Galerkin Approximations for Parabolic Problems, Math. Comp., Vol.31, 1977 pp. 818-847. | MR 448947 | Zbl 0378.65061
, and ,3. Rate of Convergence Estimates for Non-Selfadjoint Eigenvalue Approximations, Math. Comp., Vol. 27, 1973, pp. 525-549. | MR 366029 | Zbl 0305.65064
and ,4. Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations, S.I.A.M. J. Numer. Anal., Vol. 14, 1977, pp. 218-241. | MR 448926 | Zbl 0364.65084
, and ,5. Discrete Time Galerkin Methods for a Parabolic Boundary Value Problem, Annali di Matematica pura ed applicata, Vol. 101, 1974 pp. 115-152. | MR 388805 | Zbl 0306.65073
and ,6. On the Existence, Uniqueness and Approximation of Saddle-Point Problems Arising from Lagrangian Multipliers, R.A.I.R.O., Anal. Numér., Vol.2, 1974, pp. 129-151. | Numdam | MR 365287 | Zbl 0338.90047
,7. On theExistence of Certain Singuiar Integrals, Acta Math., Vol.88, 1952, pp. 85-139. | MR 52553 | Zbl 0047.10201
and ,8. Les inéquations en mécanique et enphysique, Dunod, Paris, 1972. | MR 464857 | Zbl 0298.73001
and ,9. Error Estimates for Mixed Methods, Technical report, The Mathematics Research Center, University of Wisconsin-Madison, 1979. | MR 592753
and ,10. A Mixed Finite Element Method with Curved Eléments, Technical report, Department of Computer Science, Chalmers University of Technology, 1979.
,11. A Mixed Finite Element Method for Navier-Stokes' Equatiom, R.A I. R.O., Anal. Numér., Vol. 12, 1978, pp. 335-348. | Numdam | MR 519017 | Zbl 0399.76035
,12. Some Equilibrium Finite Element Methods for Two-Dimensional Elasticity Problems, Numer. Math., Vol. 30, 1978, pp. 103-116. | MR 483904 | Zbl 0427.73072
and ,13. A Mixed Finite Element Method for 2nd Order Elliptic Problems, Proc. of the Symposium on the Mathematîcal Aspects of the Finite Element Method, Rome, December, 1975. | Zbl 0362.65089
and ,14. -Convergence of Saddle-Point Approximation for Second Order Problems,R.A.I.R.O., Anal. Numér., | Numdam | Zbl 0356.35026
,15. Navier-Stokes' Equations, North Holland. Amsterdam, 1977. | Zbl 0383.35057
,16. Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes, Thèse, Université Pierre-et-Marie-Curie, Paris, 1977.
,17. Some Interior Estimates for Semidiscrete Galerkin Approximations for Parabolic Equations, Math. Comp., Vol.33, 1979, pp. 37-62. | MR 514809 | Zbl 0419.65073
,