Free Access
Issue
ESAIM: M2AN
Volume 26, Number 5, 1992
Page(s) 557 - 574
DOI https://doi.org/10.1051/m2an/1992260505571
Published online 31 January 2017
  1. D. N. ARNOLD & R. S. FALK, A uniformly accurate finite element method for the Mindlin-Reissner plate, SIAM J. Numer. Anal. 26, 1276-1290 (1989). [MR: 1025088] [Zbl: 0696.73040]
  2. K. J. BATHE & F. BREZZI, On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. In Proceeding Conf. on Mathematics of Finite Elements and Applications 5 (J. R. Whiteman, ed.), Academic Press 1985, pp. 491-503. [MR: 811058] [Zbl: 0589.73068]
  3. K. J. BATHE, F. BREZZI & S. W. CHO, The MITC7 and MITC9 plate bending elements, J. Computers & Structures 32, 797-814 (1989). [Zbl: 0705.73241]
  4. K. J. BATHE & E. N. DVORKIN, A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation, Int. J. Num. Meth. Eng. 21, 367-383 (1985). [Zbl: 0551.73072]
  5. F. BREZZI, K. J. BATHE & M. FORTIN, Mixed-interpolated elements for Reissner-Mindlin plates, Int J. Num. Meth. Eng. 28, 1787-1801 (1989). [MR: 1008138] [Zbl: 0705.73238]
  6. F. BREZZI, J. Jr. DOUGLAS, M FORTIN & L. D. MARINI, Efficient rectangular mixed finite elements in two and three space variables. RAIRO Model. Math. Anal. Numér. 21, 581-604 (1987). [EuDML: 193515] [MR: 921828] [Zbl: 0689.65065]
  7. F. BREZZI, J. Jr. DOUGLAS, &L. D. MARINI, Two families of mixed finite elements for second order elliptic problems, Numer. Math. 47, 217-235 (1985). [EuDML: 133032] [MR: 799685] [Zbl: 0599.65072]
  8. F. BREZZI & M. FORTIN, Numerical approximation of Mindlin-Reissner plates, Math. Comp. 47, 151-158 (1986). [MR: 842127] [Zbl: 0596.73058]
  9. F. BREZZI & J. PITKÄRANTA, On the stabilization of finite element approximations of the Stokes equations. In « Efficient Solutions of Elliptic Systems » (W. Hackbusch, ed.), Vieweg, Braunschweig 1984, 11-19. [MR: 804083] [Zbl: 0552.76002]
  10. P. G. CIARLET, The Finite Element Method for Elliptic Problems. North Holland 1978. [MR: 520174] [Zbl: 0383.65058]
  11. J. Jr. DOUGLAS & J. E. ROBERTS, Global estimates for mixed methods for second order elliptic equations, Math. Comp. 44, 39-52 (1985). [MR: 771029] [Zbl: 0624.65109]
  12. L. P. FRANCA & R. STENBERG, A modification of a low order Reissner-Mindlin plate bending element. Rapport de Recherche No 1084 INRIA-Rocquencourt, France, 1989.
  13. V. GIRAULT & P. A. RAVIART, Finite Element Methods for Navier-Stokes Equations, Springer-Verlag, Berlin, 1986. [MR: 851383] [Zbl: 0585.65077]
  14. Z. HUANG, A multi-grid algorithm for mixed problems with penalty, Math. 57, 227-247 (1990). [EuDML: 133446] [MR: 1057122] [Zbl: 0712.73106]
  15. P. A. RAVIART & J. M. THOMAS, A mixed finite element method for second order elliptic problems In « Mathematical Aspects of Finite Element Methods » (I. Galligani and E. Magenes, eds.), pp 292-315, Springer Verlag 1977. [MR: 483555] [Zbl: 0362.65089]
  16. L. R. SCOTT & M. VOGELIUS, Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. RAIRO Model. Math. Anal. Numér. 19, 111-143 (1985). [EuDML: 193439] [MR: 813691] [Zbl: 0608.65013]
  17. F. BREZZI & M. FORTIN, Mixed and Hybrid Finite Elements, Springer Verlag 1991. [Zbl: 0788.73002] [MR: 1115205]

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