On mixed finite element methodsfor the reissner-mindlin plate model

Mathematics of Computation

Volumn 58, Issue 198, 1992, Pages 561-573

  Duran, Ricardo ^a   Liberman, Elsa ^a  

^a FACULTAD DE CIENCIAS EXACTAS   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968515343     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1992-1106965-0     Document Type: Article

References (14)

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2. D. N. Arnold and R. S. Falk, A uniformly accurate finite element method for the Reissner-Mindlin plate, SIAM J. Numer. Anal. 26 (1989), 1276-1290.
3. D. N. Arnold and R. S. Falk, The boundary layer for the Reissner-Mindlin plate model, SIAM J. Math. Anal. 21 (1990), 281-312.
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, MAFELAP V (J. R. Whiteman, ed.), London, 1985, pp. 491-503.
5. K. J. Bathe and F. Brezzi, A simplified analysis of two plate bending elements-the MITC4 and MITC9 elements, NUMETA 87 (G. N. Pande and J. Middleton, eds.), Numerical Techniques for Engineering Analysis and Design, vol. 1, Martinus Nijhoff, Dordrecht, 1987.
6. K. J. Bathe and E. N. Dvorkin, A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation, J. Numer. Methods Engrg. 21 (1985), 367-383.
7. F. Brezzi, K. J. Bathe, and M. Fortin, Mixed-interpolated elements for Reissner-Mindlin plates, Internat. J. Numer. Methods Engrg. 28 (1989), 1787-1801.
8. F. Brezzi, J. Douglas, M. Fortin, and L. D. Marini, Efficient rectangular mixed finite elements in two and three space variables, Model. Math. Anal. Numér. 21 (1987), 581-604.
9. F. Brezzi and M. Fortin, Numerical approximation of Mindlin-Reissner plates, Math. Comp. 47 (1986), 151-158.
10. F. Brezzi and M. Fortin, Hybrid and mixed finite element methods (to appear).
11. P. Ciarlet, The finite element method for elliptic problems, North-Holland, Amsterdam, 1978.
12. M. Crouzeix and P. A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes équations, RAIRO Anal. Numér. R-3 (1973), 33-76.
13. V. Girault and P. A. Raviart, Finite element methods for Navier-Stokes équations, Lecture Notes in Math., vol. 749, Springer, 1986.
14. P. A. Raviart and J. M. Thomas, A mixed finite element method for second order elliptic problems, Mathematical Aspects of the Finite Element Method, Lecture Notes in Math., vol. 606, Springer, 1977, pp. 292-315.