• Corpus ID: 207880656

Symmetric Numerical Integration Techniques for Singular Integrals in the Method-of-Moments Implementation of the Electric-Field Integral Equation

  title={Symmetric Numerical Integration Techniques for Singular Integrals in the Method-of-Moments Implementation of the Electric-Field Integral Equation},
  author={Brian A. Freno and William A. Johnson and Brian Zinser and Donald R. Wilton and Francesca Vipiana and Salvatore Campione},
  journal={arXiv: Computational Physics},
In this paper, we present two approaches for designing geometrically symmetric quadrature rules to address the logarithmic singularities arising in the method of moments from the Green's function in integrals over the test domain. These rules exhibit better convergence properties than quadrature rules for polynomials and, in general, lead to better accuracy with a lower number of quadrature points. We demonstrate their effectiveness for several examples encountered in both the scalar and vector… 

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  • M. Botha
  • Mathematics
    IEEE Transactions on Antennas and Propagation
  • 2013
A new family of systematically constructed near-singularity cancellation transformations is presented, yielding quadrature rules for integrating near-singular kernels over triangular surfaces. This