Numerical approximation of Mindlin-Reissner plates

Author:

Brezzi F.,Fortin M.

Abstract

We consider a finite element approximation of the so-called Mindlin-Reissner formulation for moderately thick elastic plates. We show that stability and optimal error bounds hold independently of the value of the thickness.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference12 articles.

1. Discretization by finite elements of a model parameter dependent problem;Arnold, Douglas N.;Numer. Math.,1981

2. A stable finite element for the Stokes equations;Arnold, D. N.;Calcolo,1984

3. K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1982.

4. On the convergence of a four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation;Bathe, K.-J.,1985

5. K. J. Bathe & 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.)

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