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Calculation of line integrals in boundary integral methods

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Abstract

We propose quadrature rules for the approximation of line integrals possessing logarithmic singularities and show their convergence. In some instances a superconvergence rate is demonstrated.

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Authors and Affiliations

  1. Dipartimento di Matematica, Città Universitaria, viale A. Doria 6, I‐95125, Catania, Italia

    E. Venturino

  2. Mathematics Department, The University of Queensland, Brisbane, Queensland, Australia

    G.A. Chandler

Authors
  1. E. Venturino
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  2. G.A. Chandler
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Venturino, E., Chandler, G. Calculation of line integrals in boundary integral methods. Advances in Computational Mathematics 13, 293–318 (2000). https://doi.org/10.1023/A:1018914513021

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