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Accuracy of the Richardson Extrapolation Method in Eigenvalue Problems

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Cybernetics and Systems Analysis Aims and scope

Abstract

The accuracy of the Richardson extrapolation method is investigated for the eigenvalue problem of linear elasticity theory with zero Dirichlet boundary conditions in a three-dimensional beam. O(h 4)-estimates of eigenvalue and eigenfunction vector errors are obtained with the constraint that the eigenfunction belongs to the space W 42 (Ω).

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Authors and Affiliations

  1. Taras Shevchenko National University, Kiev, Ukraine

    N. V. Maiko & V. G. Prikazchikov

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  1. N. V. Maiko
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  2. V. G. Prikazchikov
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Maiko, N.V., Prikazchikov, V.G. Accuracy of the Richardson Extrapolation Method in Eigenvalue Problems. Cybernetics and Systems Analysis 36, 879–890 (2000). https://doi.org/10.1023/A:1009461427812

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  • DOI: https://doi.org/10.1023/A:1009461427812

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