Many names of the Trefftz method

JA Kołodziej, JK Grabski - Engineering Analysis with Boundary Elements, 2018 - Elsevier
The Trefftz method is understood as an approximate method for solving boundary value
problems in which the approximate solution is a linear combination of trial functions …

On methods employing auxiliary sources for 2-D electromagnetic scattering by noncircular shapes

NL Tsitsas, GP Zouros, G Fikioris… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Methods employing auxiliary sources are applied to electromagnetic scattering problems by
2-D noncircular scatterers. Specific cases are considered for which the singularities of the …

New scheme of the discrete sources method for two-dimensional scattering problems by penetrable obstacles

YA Eremin, NL Tsitsas, M Kouroublakis… - Journal of Computational …, 2023 - Elsevier
A new computational scheme of the Discrete Sources Method (DSM) is developed for the
numerical solution of two-dimensional acoustic and electromagnetic transmission boundary …

Analysis of electromagnetic scattering from large arrays of cylinders via a hybrid of the method of auxiliary sources (MAS) with the fast multipole method (FMM)

E Mastorakis, PJ Papakanellos, HT Anastassiu… - Mathematics, 2022 - mdpi.com
The Method of Auxiliary Sources (MAS) is an established technique for the numerical
solution of electromagnetic (EM) scattering and radiation problems. This paper presents a …

Cutoff wavenumber analyses of metallic waveguides filled with homogeneous anisotropic materials using the MFCM

K Wang, JJ Laurin, Q Zhang, X Ruan… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
We present a multifilament current method (MFCM) to accurately and efficiently determine
the cutoff wavenumbers (cutoff frequencies or eigenfrequencies) of homogeneous …

Two-dimensional scattering from homogenous anisotropic cylinders using a multifilament current method

K Wang, JJ Laurin, K Wu - IEEE Transactions on Antennas and …, 2020 - ieeexplore.ieee.org
Implementation of the multifilament current method (MFCM) to analyze the scattering from
homogeneous anisotropic cylinders is introduced. The z-directed electric and magnetic line …

Convergence analysis of the currents and fields involved in the method of auxiliary sources applied to scattering by PEC cylinders

M Kouroublakis, NL Tsitsas… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The method of auxiliary sources (MAS) is an established technique for the numerical
solution of electromagnetic shielding and scattering problems exhibiting an increasing …

Detecting Line Sources inside Cylinders by Analytical Algorithms

DS Lazaridis, NL Tsitsas - Mathematics, 2023 - mdpi.com
Inverse problems for line sources radiating inside a homogeneous magneto-dielectric
cylinder are investigated. The developed algorithms concern the determination of the …

Convergent fields generated by divergent currents in the method of auxiliary sources

G Fikioris, NL Tsitsas - The Generalized Multipole Technique for Light …, 2018 - Springer
A very simple scattering problem is considered, together with its solution obtained via the
Method of Auxiliary Sources (MAS). We show that it is possible to concurrently have …

Simulation of cylindrical metasurfaces using GSTC-MFCM

K Wang, JJ Laurin, Q Zhang… - … on Antennas and …, 2020 - ieeexplore.ieee.org
We present a multifilament current method (MFCM) incorporated with generalized sheet
transition condition (GSTC) to simulate 2-D cylindrical metasurfaces with arbitrary cross …