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 …

Algorithms to measure area and volume on 3D face models for facial surgeries

O Topsakal, P Sawyer, TC Akinci, MM Celikoyar - Ieee Access, 2023 - ieeexplore.ieee.org
The increased availability and affordability of 3D scanning technology due to recent
advancements have made pre and post-operative analysis for facial surgeries 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 …

On Methods to Determine Bounds on the -Factor for a Given Directivity

BLG Jonsson, S Shi, L Wang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper revisit and extend the interesting case of bounds on the Q-factor for a given
directivity for a small antenna of arbitrary shape. A higher directivity in a small antenna is …

Accurate and efficient evaluation of characteristic modes

D Tayli, M Capek, L Akrou, V Losenicky… - … on Antennas and …, 2018 - ieeexplore.ieee.org
A new method to improve the accuracy and efficiency of characteristic mode (CM)
decomposition for perfectly conducting bodies is presented. The method uses the expansion …

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 …

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 …

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 …