Summary
A justification of a finite element scheme for plate bending problems is presented. The finite element treated here is the triangular element proposed by Stricklinet al. and Dhatt using the discrete Kirchhoff assumption. Some error estimates are derived for the finite element solutions of static and eigenvalue problems with the homogeneous Dirichlet conditions. Numerical experiments are also performed to see the validity of the theory.
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Kikuchi, F. On a finite element scheme based on the discrete Kirchhoff assumption. Numer. Math. 24, 211–231 (1975). https://doi.org/10.1007/BF01436593
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DOI: https://doi.org/10.1007/BF01436593