Solving boundary integral problems with BEM++

W Śmigaj, T Betcke, S Arridge, J Phillips… - ACM Transactions on …, 2015 - dl.acm.org
Many important partial differential equation problems in homogeneous media, such as those
of acoustic or electromagnetic wave propagation, can be represented in the form of integral …

Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: Incandescence and luminescence in arbitrary geometries

AG Polimeridis, MTH Reid, W **, SG Johnson… - Physical Review B, 2015 - APS
We describe a fluctuating volume-current formulation of electromagnetic fluctuations that
extends our recent work on heat exchange and Casimir interactions between arbitrarily …

Operator Bounds on Angle-Integrated Absorption and Thermal Radiation for Arbitrary Objects

S Molesky, W **, PS Venkataram, AW Rodriguez - Physical review letters, 2019 - APS
We derive fundamental per-channel bounds on angle-integrated absorption and thermal
radiation for arbitrarily structured bodies—for any given material susceptibility and bounding …

VoxHenry: FFT-accelerated inductance extraction for voxelized geometries

AC Yucel, IP Georgakis, AG Polimeridis… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
VoxHenry, a fast Fourier transform (FFT)-accelerated integral-equation-based simulator for
extracting frequency-dependent inductances and resistances of structures discretized by …

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 …

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 …

On the computation of power in volume integral equation formulations

AG Polimeridis, MTH Reid, SG Johnson… - … on Antennas and …, 2014 - ieeexplore.ieee.org
We present simple and stable formulas for computing power (including absorbed/radiated,
scattered and extinction power) in current-based volume integral equation formulations. The …