On the convergence of a mixed finite element method for Reissner-Mindlin plates

C. Lovadina

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1994)

  • Volume: 28, Issue: 5, page 557-573
  • ISSN: 0764-583X

How to cite

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Lovadina, C.. "On the convergence of a mixed finite element method for Reissner-Mindlin plates." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 28.5 (1994): 557-573. <http://eudml.org/doc/193752>.

@article{Lovadina1994,
author = {Lovadina, C.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {locking-free element; limit problem; zero thickness; transverse displacements; rotations},
language = {eng},
number = {5},
pages = {557-573},
publisher = {Dunod},
title = {On the convergence of a mixed finite element method for Reissner-Mindlin plates},
url = {http://eudml.org/doc/193752},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Lovadina, C.
TI - On the convergence of a mixed finite element method for Reissner-Mindlin plates
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1994
PB - Dunod
VL - 28
IS - 5
SP - 557
EP - 573
LA - eng
KW - locking-free element; limit problem; zero thickness; transverse displacements; rotations
UR - http://eudml.org/doc/193752
ER -

References

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  1. [1] D. N. ARNOLD, 1991, Innovative finite element methods for plates, Math. Aplic. Comp., 10,77-88. Zbl0757.73048MR1172086
  2. [2] F. BREZZI, K. J. BATHE, 1990, A discourse on the stability conditions formixed finite element formulations, Comput. Methods Appl. Mech. Engrg., 82, 27-57. Zbl0736.73062MR1077650
  3. [3] F. BREZZI, K. J. BATHE, M. FORTIN, 1989, Mixed-interpolated elements for Reissner-Mindlin plates, Internat. J. Numer. Methods Engrg., 28, 1787-1801. Zbl0705.73238MR1008138
  4. [4] F. BREZZI, M. FORTIN, 1986, Numerical approximation of Mindlin-Reissner plates, Math. Comp., 47, 151-158. Zbl0596.73058MR842127
  5. [5] F. BREZZI, M. FORTIN, 1991, Mixed and hybrid finite element methods, Springer Verlag, New York. Zbl0788.73002MR1115205
  6. [6] F. BREZZI, M. FORTIN, R. STENBERG, 1991, Error analysis of mixed-interpolated elements for Reissner Mindlin plates, Math. Models and Methods in Appl. Sci., 1, 125-151. Zbl0751.73053MR1115287
  7. [7] R. DURAN, E. LIBERMAN, 1992, On mixed finite éléments methods for the Reissner-Mindlin plate model, Math. Comp., 58, 561-573. Zbl0763.73054MR1106965
  8. [8] T. J. R. HUGHES, 1987, The finite element method, Prentice-Hall, Englewood Cliffs N. Y. Zbl0634.73056MR1008473
  9. [9] P. LESAINT, 1976, On the convergence of Wilson's non conforming element for solving the elastic problems, Comput. Methods Appl. Mech. Engrg., 7, 1-16. Zbl0345.65058MR455479
  10. [10] J. PITKÄRANTA, 1988, Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates, Numer. Math., 53, 237-254. Zbl0654.73043MR946378
  11. [11] S. L. WEISSMAN, R. L. TAYLOR, 1990, Resultant fields formixed plate bending element, Comput. Methods Appl. Mech. Engrg., 79,321-355. Zbl0743.73031MR1050152

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