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 …

Surface and volume integral equation methods for time-harmonic solutions of Maxwell's equations

P Yla-Oijala, J Markkanen, S Jarvenpaa… - Progress in …, 2014 - jpier.org
During the last two-three decades the importance of computer simulations based on
numerical full-wave solutions of Maxwell's has continuously increased in electrical …

Volume integral equation for electromagnetic scattering: Rigorous derivation and analysis for a set of multilayered particles with piecewise-smooth boundaries in a …

MA Yurkin, MI Mishchenko - Physical Review A, 2018 - APS
We present a general derivation of the frequency-domain volume integral equation (VIE) for
the electric field inside a nonmagnetic scattering object from the differential Maxwell …

An accurate low-order discretization scheme for the identity operator in the magnetic field and combined field integral equations

J Kornprobst, TF Eibert - IEEE Transactions on Antennas and …, 2018 - ieeexplore.ieee.org
A new low-order discretization scheme for the identity operator in the magnetic field integral
equation (MFIE) is discussed. Its concept is derived from the weak-form representation of …

Electromagnetic field synthesis by hierarchical plane wave-based field transformation

RAM Mauermayer, Y Weitsch… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
An optimization-based field synthesis approach is presented that employs a hierarchical
plane wave-based field transformation concept for efficient evaluation of the inverse problem …

Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects

I Sekulic, E Ubeda, JM Rius - Journal of Computational Physics, 2018 - Elsevier
The discretization by the method of moments (MoM) of integral equations in the
electromagnetic scattering analysis most often relies on divergence-conforming basis …

[HTML][HTML] Challenges in develo** efficient Calderón preconditioners for resonating or high material contrast penetrable objects

P Ylä-Oijala, SP Kiminki - Journal of computational and applied …, 2015 - Elsevier
Calderon preconditioning is a recently proposed technique for improving conditioning of ill-
conditioned matrices arising from discretization of surface integral equations. In …

Conforming Discretization Based on Characteristic Basis Function for Magnetic Field Integral Equation

Z Dong, X Chen, F Gao, C Gu - IEEE Antennas and Wireless …, 2024 - ieeexplore.ieee.org
The dual testing scheme using the Buffa–Christiansen (BC) basis function not only
maintains the good convergence of the magnetic field integral equation (MFIE) but also …

Versatile and accurate schemes of discretization in the scattering analysis of 2-D composite objects with penetrable or perfectly conducting regions

I Sekulic, E Ubeda, JM Rius - IEEE Transactions on Antennas …, 2017 - ieeexplore.ieee.org
The method-of-moment discretization of boundary integral equations in the scattering
analysis of closed infinitely long (2-D) objects, perfectly conducting (PEC) or penetrable, is …

Efficient Iterative Solution of Combined Source Integral Equation Using Characteristic Basis Function Method with Initial Guess

Z Dong, X Chen, F Gao, C Gu, Z Li… - IEEE Journal on …, 2024 - ieeexplore.ieee.org
Using only the RWG functions, the combined source integral equation (CSIE) with weak form
combined source condition can achieve fine accuracy and fast iterative convergence for …