Numerical approximation of mindlin-reissner plates

Mathematics of Computation

Volumn 47, Issue 175, 1986, Pages 151-158

  Brezzi, F ^a   Fortin, M ^b  

^a UNIVERSITY OF PAVIA   (Italy)

^b UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966254458     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1986-0842127-7     Document Type: Article

References (12)

1. D. N. Arnold, “Discretization by finite elements of a model parameter dependent problem, " Numer. Math., v. 37, 1981, pp. 405-421.
2. D. N. Arnold, F. Brezzi and M. Fortin, “A stable finite element for the Stokes equations, " Calcolo, v. 21, 1984, pp. 337-344.
3. K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1982.
4. K. J. Bathe and F. Brezzi, “On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation, " in MAFELAP V (J. R. Whiteman, ed.), Academic Press, London, 1985, pp. 491-503.
5. K. J. Bathe and E. N. Dvorkin, A Formulation of General Shell Elements-The Use of Mixed Interpolation of Tensorial Components, Proc. Conf. Numerical Methods in Engineering: Theory and Applications (Swansea, Jan. 1985). (To appear.)
6. F. Brezzi and M. Fortin, Book in preparation.
7. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.
8. M. A. Crisfield, “A quadratic Mindlin element using shear constraints, ” Comput. and Structures, v. 18, no. 5, 1984, pp. 833-852.
9. P. Destuynder, Thèse d'état, Université P. et M. Curie, Paris, 1980.
10. O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flows, Gordon and Breach, New York, 1963.
11. G. Strang and G. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N. J., 1973.
12. R. Temam, Navier-Stokes Equations, North-Holland, Amsterdam, 1978.