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A finite-difference approximation for the eigenvalues of the clamped plate

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Summary

A finite-difference scheme is given for the eigenproblem of the clamped plate. The discrete eigenvalues and eigenvectors are shown to converge to the continuous eigenvalues and eigenvectors likeO(h 2) andO (h 2❘ logh❘ 1/2) respectively.

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References

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Authors and Affiliations

  1. Applied Physics Laboratory, The Johns Hopkins University, 8621 Georgia Avenue, 20910, Silver Spring, Maryland

    James R. Kuttler

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  1. James R. Kuttler
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Additional information

This work, supported by the U.S. Department of the Navy under Contract N 00017-62-C-0604.

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Kuttler, J.R. A finite-difference approximation for the eigenvalues of the clamped plate. Numer. Math. 17, 230–238 (1971). https://doi.org/10.1007/BF01436379

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  • DOI: https://doi.org/10.1007/BF01436379

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