All-analytical evaluation of the singular integrals involved in the method of moments

D Tihon, C Craeye - IEEE Transactions on Antennas and …, 2018 - ieeexplore.ieee.org
Surface integral equation methods routinely require the integration of the singular Green's
function or its gradient over basis functions (BF) and testing functions (TF). Many techniques …

Generalized Taylor–Duffy method for efficient evaluation of Galerkin integrals in boundary-element method computations

MTH Reid, JK White, SG Johnson - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
We present a generic technique, automated by computer-algebra systems and available as
open-source software, for efficient numerical evaluation of a large family of singular and …

Manufactured solutions for an electromagnetic slot model

BA Freno, NR Matula, RA Pfeiffer, EA Dohme… - Journal of …, 2024 - Elsevier
The accurate modeling of electromagnetic penetration is an important topic in computational
electromagnetics. Electromagnetic penetration occurs through intentional or inadvertent …

Fast and accurate MoM analysis of periodic arrays of multilayered stacked rectangular patches with application to the design of reflectarray antennas

R Florencio, RR Boix, JA Encinar - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
The scattering of plane waves by periodic arrays of stacked rectangular patches in
multilayered substrates is a problem that has to be solved many times when designing …

Evaluation of 4-D reaction integrals in the method of moments: Coplanar element case

DR Wilton, F Vipiana… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Recently, the benefits of simultaneously treating source and testing integrals in the
numerical evaluation of 4-D reaction integrals have been reported. The reported schemes …

Accuracy of surface integral equation matrix elements in plasmonic calculations

TV Raziman, WRC Somerville, OJF Martin, EC Le Ru - JOSA B, 2015 - opg.optica.org
We study the convergence of the integrals required to be evaluated in the surface integral
equation (SIE) formulation (or method of moments) for simulating the optical response of …

Manufactured solutions for the method-of-moments implementation of the electric-field integral equation

BA Freno, NR Matula, WA Johnson - Journal of Computational Physics, 2021 - Elsevier
Though the method-of-moments implementation of the electric-field integral equation plays
an important role in computational electromagnetics, it provides many code-verification …

Evaluation of static potential integrals on triangular domains

DR Wilton, J Rivero, WA Johnson, F Vipiana - IEEE Access, 2020 - ieeexplore.ieee.org
Static potential integrals for constant and linear sources on triangles are derived in a
straightforward way. The new representations, as presented, are robust with respect to …

Numerical integration scheme for the near-singular green function gradient on general triangles

MM Botha - IEEE Transactions on Antennas and Propagation, 2015 - ieeexplore.ieee.org
A new near-singularity cancellation transformation quadrature scheme for triangle domains
is presented. It is tailored to the Green function gradient kernel (static and dynamic) …

Hybrid integration scheme for the evaluation of strongly singular and near-singular integrals in surface integral equations

J Rivero, F Vipiana, DR Wilton… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The accurate and efficient evaluation of surface source integrals is a key step in obtaining
reliable solutions to electromagnetic problems using integral equation formulations. In this …