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An analysis of the convergence of mixed finite element methods. (English) Zbl 0373.65055

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:
[1] 1. F. BREZZI, On the existence, uniqueness and approximation of saddle-point problem arising from langrangian multipliers, R.A.I.R.O., vol. 8, août 1974, 2, pp. 129-151. Zbl0338.90047 MR365287 · Zbl 0338.90047 · eudml:193255
[2] 2. F. BREZZI and P. A. RAVIART, Mixed finite element methods for fourth order elliptic equations (to appear). Rapport interne No. 9, École polytechnique, Centre de Mathématiques Appliquées. · Zbl 0434.65085
[3] 3. M. CROUZEIX and P. A. RAVIART, Conforming and non conforming finite elements methods for solving the stationary Stoke equations, R.A.I.R.O., 3, 1974, pp. 33-76. Zbl0302.65087 · Zbl 0302.65087 · eudml:193250
[4] 4. M. FORTIN, Utilisation de la méthode des éléments finis en mécanique des fluides, CALCOLO, vol. XII, fasc. IV, pp. 405-441 and Vol. XII, fasc. 1, pp. 1-20. Zbl0351.76030 MR421339 · Zbl 0351.76030 · doi:10.1007/BF02575757
[5] 5. C. JOHNSON, On the convergence of a mixed finite element method for plate bending problems, Num. Math., vol. 21, 1973, pp. 43-62. Zbl0264.65070 MR388807 · Zbl 0264.65070 · doi:10.1007/BF01436186 · eudml:132212
[6] 6. J. T. ODEN, Some contributions to the mathematical theory of mixed finite element approximations, Tokyo Seminar on Finite Eléments, Tokyo, 1973. Zbl0374.65060 · Zbl 0374.65060
[7] 7. J. T. ODEN et J. N. REDDY, On mixed finite element approximations, Texas Institute or Computational Mechanics, The University of Texas at Austin, 1974.
[8] 8. P. A. RAVIART and J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems (to appear). Zbl0362.65089 · Zbl 0362.65089
[9] 9. K. YOSIDA, Functional analysis, Springer Verlag 1965.
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