Results in quadrature error estimation for weak near-singular MoM integrals
Paper i proceeding, 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.

Författare

Matthys Botha

Universiteit Stellenbosch

Thomas Rylander

Signaler och system, Signalbehandling och medicinsk teknik, Signalbehandling

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,

Ämneskategorier

Beräkningsmatematik

Övrig annan teknik

Sannolikhetsteori och statistik

DOI

10.1109/APUSNCURSINRSM.2017.8072820