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Complementary variational principles for a class of biharmonic problems

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Summary

Maximum and minimum principles for certain plate bending problems are derived in a unified manner from the canonical theory of complementary variational principles for multiple operator equations. The minimum principle is known in the literature, but the maximum principle appears to be new. A new error bound for approximate variational solutions is also presented.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of York, Heslington, York, England

    A. M. Arthurs & R. I. Reeves

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  1. A. M. Arthurs
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  2. R. I. Reeves
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Arthurs, A.M., Reeves, R.I. Complementary variational principles for a class of biharmonic problems. J Eng Math 8, 167–173 (1974). https://doi.org/10.1007/BF02353619

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  • DOI: https://doi.org/10.1007/BF02353619

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