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Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates

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Summary

We set up a framework for analyzing mixed finite element methods for the plate problem using a mesh dependent energy norm which applies both to the Kirchhoff and to the Mindlin-Reissner formulation of the problem. The analysis techniques are applied to some low order finite element schemes where three degrees of freedom are associated to each vertex of a triangulation of the domain. The schemes proceed from the Mindlin-Reissner formulation with modified shear energy.

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Authors and Affiliations

  1. Institute of Mathematics, Helsinki University of Technology, SF-02150, Espoo, Finland

    Juhani Pitkäranta

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  1. Juhani Pitkäranta
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Dedicated to Professor Ivo Babuška on the occasion of his 60th birthday

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Pitkäranta, J. Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates. Numer. Math. 53, 237–254 (1988). https://doi.org/10.1007/BF01395887

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  • DOI: https://doi.org/10.1007/BF01395887

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