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 …

Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems

Z Peng, R Hiptmair, Y Shao… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We propose and study a nonoverlapping and nonconforming domain decomposition
method for the integral-equation-based solution of large, complex electromagnetic (EM) …

Multibranch Rao–Wilton–Glisson basis functions for electromagnetic scattering problems

S Huang, G Xiao, Y Hu, R Liu… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
A multibranch Rao–Wilton–Glisson (MB-RWG) basis function is proposed in this article,
which is composed of one positive triangle with a larger edge length and several negative …

Resistive sheet boundary condition-based nonconformal domain decomposition FE-BI-MLFMA for electromagnetic scattering from inhomogeneous objects with …

Z Yang, XW Yuan, XW Huang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
A flexible and efficient resistive sheet boundary condition (RSBC)-based hybrid finite
element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is presented …

A discontinuous Galerkin combined field integral equation formulation for electromagnetic modeling of piecewise homogeneous objects of arbitrary shape

VF Martín, L Landesa, F Obelleiro… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We present a novel discontinuous Galerkin (DG) surface integral equation approach, based
on the electric and magnetic current combined field integral equations (JMCFIE), for the …

A Multi-Resolution Preconditioner for Nonconformal Meshes in the MoM Solution of Large Multiscale Structures

VF Martín, JM Taboada… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The article presents a multi-resolution (MR) preconditioner able to improve the solution
convergence, via the method of moments (MoM) and the multilevel fast multipole algorithm …

Accurate EMC engineering on realistic platforms using an integral equation domain decomposition approach

DM Solís, VF Martín, MG Araújo… - … on Antennas and …, 2019 - ieeexplore.ieee.org
This article investigates the efficiency, accuracy and versatility of a surface integral equation
(SIE) multisolver scheme to address very complex and large-scale radiation problems …

High-fidelity, high-performance computational algorithms for intrasystem electromagnetic interference analysis of IC and electronics

Z Peng, Y Shao, HW Gao, S Wang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Ever-increasing complexity in high-speed electronic devices and systems presents
significant computational challenges in the numerical analysis in terms of desired accuracy …

Multiresolution preconditioners for solving realistic multi-scale complex problems

DM Solís, VF Martín, JM Taboada, F Vipiana - IEEE Access, 2022 - ieeexplore.ieee.org
In this work, the hierarchic multiresolution (MR) preconditioner is combined with the
multilevel fast multipole algorithm-fast Fourier transform (MLFMA-FFT) and efficiently …

Massively parallel discontinuous Galerkin surface integral equation method for solving large-scale electromagnetic scattering problems

RQ Liu, XW Huang, YL Du, ML Yang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this communication, we present flexible and efficient solutions of large-scale
electromagnetic scattering problems using the parallel discontinuous Galerkin (DG) surface …