Error estimates for some mixed finite element methods for parabolic type problems
RAIRO. Analyse numérique, Tome 15 (1981) no. 1, pp. 41-78.
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     author = {Johnson, Claes and Thomee, Vidar},
     title = {Error estimates for some mixed finite element methods for parabolic type problems},
     journal = {RAIRO. Analyse num\'erique},
     pages = {41--78},
     publisher = {Centrale des revues, Dunod-Gauthier-Villars},
     address = {Montreuil},
     volume = {15},
     number = {1},
     year = {1981},
     mrnumber = {610597},
     zbl = {0476.65074},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1981__15_1_41_0/}
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Johnson, Claes; Thomee, Vidar. Error estimates for some mixed finite element methods for parabolic type problems. RAIRO. Analyse numérique, Tome 15 (1981) no. 1, pp. 41-78. http://www.numdam.org/item/M2AN_1981__15_1_41_0/

1. S. Agmon, A. Douglis and L. Nirenberg, 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 | Zbl

2. G. A. Baker, J. H. Bramble and V. Thomée, Single Step Galerkin Approximations for Parabolic Problems, Math. Comp., Vol.31, 1977 pp. 818-847. | MR | Zbl

3. J. H. Bramble and J. Osborn, Rate of Convergence Estimates for Non-Selfadjoint Eigenvalue Approximations, Math. Comp., Vol. 27, 1973, pp. 525-549. | MR | Zbl

4. J. H. Bramble, A. H. Schatz, V. Thomée and L. B. Wahlbin, 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 | Zbl

5. J. H. Bramble and V. Thomée, Discrete Time Galerkin Methods for a Parabolic Boundary Value Problem, Annali di Matematica pura ed applicata, Vol. 101, 1974 pp. 115-152. | MR | Zbl

6. F. Brezzi, 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 | Zbl

7. A. Calderon and A. Zygmund, On theExistence of Certain Singuiar Integrals, Acta Math., Vol.88, 1952, pp. 85-139. | MR | Zbl

8. G. Duvaut and J. L. Lions, Les inéquations en mécanique et enphysique, Dunod, Paris, 1972. | MR | Zbl

9. R. Falk and J. Osborn, Error Estimates for Mixed Methods, Technical report, The Mathematics Research Center, University of Wisconsin-Madison, 1979.

10. C. Jensen, A Mixed Finite Element Method with Curved Eléments, Technical report, Department of Computer Science, Chalmers University of Technology, 1979.

11. C. Johnson, A Mixed Finite Element Method for Navier-Stokes' Equatiom, R.A I. R.O., Anal. Numér., Vol. 12, 1978, pp. 335-348. | Numdam | MR | Zbl

12. C. Johnson and B. Mercier, Some Equilibrium Finite Element Methods for Two-Dimensional Elasticity Problems, Numer. Math., Vol. 30, 1978, pp. 103-116. | MR | Zbl

13. P. A. Raviart and J. M. Thomas, 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

14. R. Scholz, L -Convergence of Saddle-Point Approximation for Second Order Problems,R.A.I.R.O., Anal. Numér., | Numdam | Zbl

15. R. Temam, Navier-Stokes' Equations, North Holland. Amsterdam, 1977. | Zbl

16. J. M. Thomas, Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes, Thèse, Université Pierre-et-Marie-Curie, Paris, 1977.

17. V. Thomée, Some Interior Estimates for Semidiscrete Galerkin Approximations for Parabolic Equations, Math. Comp., Vol.33, 1979, pp. 37-62. | MR | Zbl