Numerical integration methods for the solution of singular integral equations

Theocaris, P. S.; Ioakimidis, N. I.

doi:10.1090/qam/445873

Authors: P. S. Theocaris and N. I. Ioakimidis
Journal: Quart. Appl. Math. 35 (1977), 173-183
MSC: Primary 65R05
DOI: https://doi.org/10.1090/qam/445873
MathSciNet review: 445873
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Abstract: The evaluation of the stress intensity factors at the tips of a crack in a homogeneous isotropic and elastic medium may be achieved with higher accuracy and much less computation if the Lobatto-Chebyshev method of numerical solution of the corresponding system of singular integral equations is used instead of the method of Gauss-Chebyshev commonly applied to such problems. Comparison of results obtained by the two numerical methods when applied to the problem of a cruciform crack in an infinite medium proves the potentialities of the new approach.

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