Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

• Published in: IEEE Transactions on Antennas and Propagation (ISSN: 0018-926X), vol. 60, num. 5, p. 2579-2582
• Institute of Electrical and Electronics Engineers, 2012

Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a "plug-n-play" sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods. Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.

Keywords: Double exponential quadrature ; method of moments (MoM) ; mixed potential integral equation (MPIE) ; RWG basis functions ; weakly singular integrals ; Potential Integrals ; Quadrature-Formulas ; Precision

Reference

• EPFL-ARTICLE-153694
• doi:10.1109/TAP.2012.2189708
• View record in Web of Science

Record created on 2010-10-26, modified on 2016-08-08