A discontinuous Galerkin surface integral equation method for electromagnetic wave scattering from nonpenetrable targets

Z Peng, KH Lim, JF Lee - IEEE Transactions on Antennas and …, 2013 - ieeexplore.ieee.org
We present a discontinuous Galerkin surface integral equation method, herein referred to as
IEDG, for time harmonic electromagnetic wave scattering from nonpenetrable targets. The …

DIRECTFN: Fully numerical algorithms for high precision computation of singular integrals in Galerkin SIE methods

AG Polimeridis, F Vipiana, JR Mosig… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
Fully numerical schemes are presented for high precision computations of the four-
dimensional integrals arising in Galerkin surface integral equation formulations. More …

Numerical evaluation via singularity cancellation schemes of near-singular integrals involving the gradient of Helmholtz-type potentials

F Vipiana, DR Wilton - IEEE transactions on antennas and …, 2012 - ieeexplore.ieee.org
In this paper, we present a purely numerical procedure to evaluate strongly near-singular
integrals involving the gradient of Helmholtz-type potentials for observation points at finite …

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 …

Advanced numerical schemes for the accurate evaluation of 4-D reaction integrals in the method of moments

F Vipiana, DR Wilton… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
In this paper, we present a simple and efficient fully numerical technique for the evaluation of
4-D reaction integrals arising in the method of moments. In the proposed approach, the …

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 …

Evaluation of 4-D reaction integrals via double application of the divergence theorem

J Rivero, F Vipiana, DR Wilton… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
The use of the method of moments to solve surface integral equations is one of the most
popular numerical techniques in electromagnetic modeling and analysis. This method …

Analytical Galerkin Boundary Integrals of Laplace Kernel Layer Potentials in

NA Gumerov, S Kaneko, R Duraiswami - SIAM Journal on Scientific …, 2024 - SIAM
A method for analytical computation of the double surface integrals for all layer potential
kernels associated with the Laplace Green's function in the Galerkin boundary element …

A fast volume integral equation solver with linear basis functions for the accurate computation of EM fields in MRI

IP Georgakis, II Giannakopoulos… - … on Antennas and …, 2020 - ieeexplore.ieee.org
A stable volume integral equation (VIE) solver based on polarization/magnetization currents
is presented, for the accurate and efficient computation of the electromagnetic (EM) …