• Corpus ID: 207880656

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

@article{Freno2019SymmetricNI,
  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},
  year={2019}
}

• Brian A. Freno, W. Johnson, +3 authors S. Campione
• Published 5 November 2019
• Mathematics
• 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 potentials of the electric-field integral equation (singular, near-singular, and far interactions) as compared to the commonly employed polynomial scheme and the double Ma--Rokhlin--Wandzura (DMRW) rules, whose sample points are located asymmetrically within triangles.