Electromagnetic integral equations: Insights in conditioning and preconditioning

SB Adrian, A Dely, D Consoli, A Merlini… - IEEE Open Journal of …, 2021 - ieeexplore.ieee.org
Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …

A multiplicative Calderon preconditioner for the electric field integral equation

FP Andriulli, K Cools, H Bagci… - … on Antennas and …, 2008 - ieeexplore.ieee.org
In this paper, a new technique for preconditioning electric field integral equations (EFIEs) by
leveraging CalderÓn identities is presented. In contrast to all previous CalderÓn …

An introduction to operator preconditioning for the fast iterative integral equation solution of time-harmonic scattering problems

X Antoine, M Darbas - Multiscale Science and Engineering, 2021 - Springer
The aim of this paper is to provide an introduction to the improved iterative Krylov solution of
boundary integral equations for time-harmonic scattering problems arising in acoustics …

Generalized combined field integral equationsfor the iterative solution of the three-dimensional Helmholtz equation

X Antoine, M Darbas - ESAIM: Mathematical Modelling and …, 2007 - cambridge.org
This paper addresses the derivation of new second-kind Fredholm combined field integral
equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a …

Time domain Calderón identities and their application to the integral equation analysis of scattering by PEC objects part II: Stability

FP Andriulli, K Cools, F Olyslager… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
Novel time domain integral equations for analyzing scattering from perfect electrically
conducting objects are presented. They are free from DC and resonant instabilities plaguing …

Time domain Calderón identities and their application to the integral equation analysis of scattering by PEC objects Part I: Preconditioning

K Cools, FP Andriulli, F Olyslager… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Time domain electric field integral equations often are used to analyze transient scattering
from perfect electrically conducting objects. When discretized using marching-on-in-time …

Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations

O Bruno, T Elling, R Paffenroth, C Turc - Journal of Computational Physics, 2009 - Elsevier
We present a new class of integral equations for the solution of problems of scattering of
electromagnetic fields by perfectly conducting bodies. Like the classical Combined Field …

A Calderón multiplicative preconditioner for the combined field integral equation

H Bagci, FP Andriulli, K Cools… - … on Antennas and …, 2009 - ieeexplore.ieee.org
A Calderon multiplicative preconditioner (CMP) for the combined field integral equation
(CFIE) is developed. Just like with previously proposed Calderon-preconditioned CFIEs, a …

Boundary integral equation analysis on the sphere

F Vico, L Greengard, Z Gimbutas - Numerische Mathematik, 2014 - Springer
We present a systematic analysis of the integral operators of potential theory that arise when
solving the Helmholtz or Maxwell equations in the exterior (or interior) of a sphere in the …

[HTML][HTML] Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems

Y Boubendir, C Turc - Computers & mathematics with applications, 2014 - Elsevier
We present several versions of Regularized Combined Field Integral Equation (CFIER)
formulations for the solution of three dimensional frequency domain electromagnetic …