Electromagnetic integral equations: Insights in conditioning and preconditioning
Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …
A multiplicative Calderon preconditioner for the electric field integral equation
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 …
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 …
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 …
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
Novel time domain integral equations for analyzing scattering from perfect electrically
conducting objects are presented. They are free from DC and resonant instabilities plaguing …
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
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 …
from perfect electrically conducting objects. When discretized using marching-on-in-time …
Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations
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 …
electromagnetic fields by perfectly conducting bodies. Like the classical Combined Field …
A Calderón multiplicative preconditioner for the combined field integral equation
A Calderon multiplicative preconditioner (CMP) for the combined field integral equation
(CFIE) is developed. Just like with previously proposed Calderon-preconditioned CFIEs, a …
(CFIE) is developed. Just like with previously proposed Calderon-preconditioned CFIEs, a …
Boundary integral equation analysis on the sphere
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 …
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 …
formulations for the solution of three dimensional frequency domain electromagnetic …