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Cubature formulas for the evaluation of surface singular integrals

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Abstract

Some cubature formulas for the evaluation of surface singular integrals are presented. The singular integral is considered as an iterated integral and these line integrals are calculated by using the modified quadrature formulas for integrals possessing real or complex poles, i.e. for singular integrals or regular ones. The error is obtained as the sum of two contour integrals. An estimate of the error for the Gauss-Jacobi and the Gauss-Chebyshev case is obtained.

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, The National Technical University of Athens, 5. K. Zographou Street, Zographou, 625, Athens, Greece

    G. Tsamasphyros & P. S. Theocaris

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  1. G. Tsamasphyros
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  2. P. S. Theocaris
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Tsamasphyros, G., Theocaris, P.S. Cubature formulas for the evaluation of surface singular integrals. BIT 19, 368–377 (1979). https://doi.org/10.1007/BF01930990

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  • DOI: https://doi.org/10.1007/BF01930990

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