Results in quadrature error estimation for weak near-singular MoM integrals
Paper in proceedings, 2017

In the method of moments (MoM) for integral equation based numerical electromagnetic field calculation, weakly singular and near-singular surface integrals must be routinely evaluated. Applicable numerical integration schemes are standard Gaussian quadrature or specialized singularity cancellation transformation quadrature. When applying numerical integration, an error is incurred. Qualitative knowledge of the error behaviour and quantitative error estimates are valuable to MoM developers in identifying appropriate quadrature schemes and orders, which lead to increased efficiency and reliability of MoM implementations. An accurate, closed-form error estimate is presented for direct Gaussian product-rule quadrature, as well as for the Radial-Angular-R1-Sqrt transformation scheme.

Author

Matthys Botha

Stellenbosch University

Thomas Rylander

Chalmers, Signals and Systems, Signalbehandling och medicinsk teknik, Signal Processing

2017 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING

1522-3965 (ISSN)

1555-1556

International Symposium of IEEE-Antennas-and-Propagation-Society / USNC/URSI National Radio Science Meeting
San Diego, USA,

Subject Categories

Computational Mathematics

Other Engineering and Technologies not elsewhere specified

Probability Theory and Statistics

DOI

10.1109/APUSNCURSINRSM.2017.8072820

More information

Latest update

3/23/2018