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On the convergence of a mixed finite-element method for plate bending problems

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Summary

In this paper we justify a finite element method for biharmonic boundary value problems. The method is based on a stationary variational principle (the Reissner principle), and was introduced by Hellan, Herrmann and Visser. We prove error estimates and the existence of a finite element solution.

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Authors and Affiliations

  1. Department of Mathematics Fack, Chalmers Institute of Technology, S-40220, Göteborg 5, Sweden

    Claes Johnson

  2. Department of Mathematics Fack, University of Göteborg, S-40220, Göteborg 5, Sweden

    Claes Johnson

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  1. Claes Johnson
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Johnson, C. On the convergence of a mixed finite-element method for plate bending problems. Numer. Math. 21, 43–62 (1973). https://doi.org/10.1007/BF01436186

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  • DOI: https://doi.org/10.1007/BF01436186

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