On the application of mixed finite element methods to the wave equations

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1. [1] R. ALEX ANDER, Diagonally implicity Runge-Kutta methods for stiff O.D.E.'s, SIAM J. Numer. Anal. 14 (1977), 1006-1021. Zbl0374.65038MR458890
2. [2] D. N. ARNOLD and F. BREZZI, Mixed and non conforming finite elementmethods: Implementation, postprocessing and error estimates, R.A.R.O. Math. Model, and Num. Anal. (M2AN) 1 (1985), 7-32. Zbl0567.65078MR813687
3. [3] D. N. ARNOLD, J. DOUGLAS, Jr., and C. P. GUPTA, A family of higher ordermixed finite element methods for plane elasticity, Numer. Math. 45 (1984), 1-22. Zbl0558.73066MR761879
4. [4] G. A. BAKER and J. H. BRAMBLE, Semidiscrete and single step fully discreteapproximations for second order hyperbolic equations, R.A.I.R.O. Anal. Num. 13 (1979), 75-100. Zbl0405.65057MR533876
5. [5] B. BRENNER, M. CROUZEIX and V. THOMÉE, Single step methods for inhomogeneous linear differential equations in Banach spaces, R.A.I.R.O. Anal. Num. 16 (1982), 5-26. Zbl0477.65040MR648742
6. [6] F. BREZZI, J. DOUGLAS Jr. and L. D MARINI, Two families of mixed finite elements for second order elliptic problems, Numer. Math. 47 (1985), 217-235. Zbl0599.65072MR799685
7. [7] K. BURRAGE, Efficiently implementable algebraically stable Runge-Kutta methods, SIAM J. Numer. Anal. 19 (1982), 245-258. Zbl0483.65040MR650049
8. [8] M. CROUZEIX, Sur l'approximation des équations différentielles opérationnelles linéaires par des méthodes de Runge-Kutta, thèse, Paris (1975). 
9. [9] M. CROUZEIX and P.-A. RAVIART, Approximation des problèmes d'évolution, preprint, Université de Rennes (1980). 
10. [10] V. DOUGALIS and S.M. SERBIN, One some unconditionally stable, higher order methods for numerical solution of the structural dynamics equations, Int. J. Num. Meth. Eng. 18 (1982), 1613-1621. Zbl0488.73087MR680513
11. [11] E. GEKELER, Discretization Methods for Stable Initial Value Problems, Springer Lecture Notes in Mathematics 1044 (1984), Springer-Verlag, Berlin, Heidelberg, New York. Zbl0518.65050MR731695
12. [12] C. JOHNSON and V. THOMÉE, Error estimates for some mixed finite element methodes for parabolic type problems, R.A.I.R.O. Anal. Num. 15 (1981), 41-78. Zbl0476.65074MR610597
13. [13] P.-A., RAVIART and J.M. THOMAS, A mixed finite element method for 2nd order problems, in Mathematical Aspects of the Element Method, Springer Lecture Notes in Mathematics 606 (1977), Springer-Verlag, Berlin-Heidelberg-New York. Zbl0362.65089MR483555