Improving the accuracy of the second-kind Fredholm integral equations by using the Buffa-Christiansen functions

S Yan, JM Jin, Z Nie - IEEE transactions on Antennas and …, 2011 - ieeexplore.ieee.org
In computational electromagnetics, the second-kind Fredholm integral equations are known
to have very fast iterative convergence but rather poor solution accuracy compared with the …

Fast and accurate solutions of extremely large integral-equation problems discretised with tens of millions of unknowns

L Gurel, O Ergul - Electronics Letters, 2007 - IET
The solution of extremely large scattering problems that are formulated by integral equations
and discretised with tens of millions of unknowns is reported. Accurate and efficient solutions …

Solutions of plasmonic structures using the multilevel fast multipole algorithm

B Karaosmanoğlu, A Yılmaz, UM Gür… - International Journal of …, 2016 - Wiley Online Library
We consider accurate full‐wave solutions of plasmonic problems using the multilevel fast
multipole algorithm (MLFMA). Metallic structures at optical frequencies are modeled by …

A comparative study of surface integral equations for accurate and efficient analysis of plasmonic structures

B Karaosmanoğlu, A Yılmaz… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
Surface integral equations, which are commonly used in electromagnetic simulations, have
recently been applied to various plasmonic problems, while there is still no complete …

A novel surface-integral-equation formulation for efficient and accurate electromagnetic analysis of near-zero-index structures

H İbili, Y Koyaz, U Özmü, B Karaosmanoğlu… - Journal of …, 2022 - iopscience.iop.org
We consider accurate and iteratively efficient solutions of electromagnetic problems
involving homogenized near-zero-index (NZI) bodies using surface-integral-equation …

Contamination of the accuracy of the combined-field integral equation with the discretization error of the magnetic-field integral equation

L Gurel, O Ergul - IEEE transactions on antennas and …, 2009 - ieeexplore.ieee.org
We investigate the accuracy of the combined-field integral equation (CFIE) discretized with
the Rao-Wilton-Glisson (RWG) basis functions for the solution of scattering and radiation …

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 …

Accuracy Analysis of Div-Conforming Hierarchical Higher-Order Discretization Schemes for the Magnetic Field Integral Equation

J Kornprobst, TF Eibert - IEEE Journal on Multiscale and …, 2023 - ieeexplore.ieee.org
The magnetic field surface integral equation for perfect electrically conducting scatterers
suffers from accuracy problems when discretized with lowest-order Rao-Wilton-Glisson …

Integral-equation formulations of plasmonic problems in the visible spectrum and beyond

A Çekinmez, B Karaosmanoglu, Ö Ergül… - Dynamical Systems …, 2017 - books.google.com
Computational modeling of nano-plasmonic structures is essential to understand their
electrodynamic responses before experimental efforts in measurement setups. Similar to the …

Accuracy improvement of the second-kind integral equations for generally shaped objects

S Yan, JM Jin, Z Nie - IEEE transactions on antennas and …, 2012 - ieeexplore.ieee.org
In computational electromagnetics, second-kind integral equations are usually considered
less accurate than their first-kind counterparts. The loss of the numerical accuracy is mainly …