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An asymptotic estimate of the error of eigenvalues in the method of finite elements for the sturm-liouville problem

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Abstract

A scheme of the second order of accuracy for the Sturm—Liouville problem is constructed by the method of finite elements with the use of a special basic system of compact functions. The convergence of the method of finite elements is proved. An exact formula for estimating errors of eigenvalues is obtained.

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Authors and Affiliations

  1. Taras Shevchenko University, Kiev, Ukraine

    V. G. Prikazchikov & M. V. Loseva

Authors
  1. V. G. Prikazchikov
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  2. M. V. Loseva
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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 28–36, March–Apni, 2000.

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Prikazchikov, V.G., Loseva, M.V. An asymptotic estimate of the error of eigenvalues in the method of finite elements for the sturm-liouville problem. Cybern Syst Anal 36, 170–178 (2000). https://doi.org/10.1007/BF02678662

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  • DOI: https://doi.org/10.1007/BF02678662

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