Evaluation of 3-D Singular and Nearly Singular Integrals in Galerkin BEM for Thin Layers

  title={Evaluation of 3-D Singular and Nearly Singular Integrals in Galerkin BEM for Thin Layers},
  author={Marc Lenoir and Nicolas Salles},
  journal={SIAM J. Sci. Comput.},
  • M. Lenoir, N. Salles
  • Published 18 December 2012
  • Mathematics, Computer Science
  • SIAM J. Sci. Comput.
An explicit method for the evaluation of singular and near-singular integrals arising in three-dimensional Galerkin BEM is presented. It is based on a recursive reduction of the dimension of the integration domain leading to a linear combination of one-dimensional regular integrals, which can be exactly evaluated. This method has appealing properties in terms of reliability, precision, and flexibility. The results we present here are devoted to the case of thin layers for the Helmholtz equation… 
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