Low-rank matrix factorization method for multiscale simulations: A review

M Li, D Ding, A Heldring, J Hu, R Chen… - IEEE Open Journal of …, 2021 - ieeexplore.ieee.org
In this paper, a review of the low-rank factorization method is presented, with emphasis on
their application to multiscale problems. Low-rank matrix factorization methods exploit the …

Integral equation modelling of unmanned aerial vehicle radar scattering characteristics in VHF to S frequency bands

GS Zalevsky, OI Sukharevsky… - … Microwaves, Antennas & …, 2021 - Wiley Online Library
Methods for modelling the radar scattering characteristics of resonance‐size airborne
objects containing metallic and dielectric design elements are discussed. The developed …

Sparse reconstruction for near-field MIMO radar imaging using fast multipole method

EA Miran, FS Oktem, S Koc - IEEE Access, 2021 - ieeexplore.ieee.org
Radar imaging using multiple input multiple output systems are becoming popular recently.
These applications typically contain a sparse scene and the imaging system is challenged …

An improved RCS calculation method for power lines combining characteristic mode with SMWA

C Chen, F Yang, C Hu, J Zhou - Electronics, 2022 - mdpi.com
The radar cross-section (RCS) of power lines has an important significance for detection of
the power lines. The method of moments (MoM) can calculate the RCS of power lines …

Broadband solutions of potential integral equations with NSPWMLFMA

B Khalichi, Ö Ergül, VB Ertürk - IEEE Transactions on Antennas …, 2019 - ieeexplore.ieee.org
In this communication, a mixed-form multilevel fast multipole algorithm (MLFMA) is
combined with the recently introduced potential integral equations (PIEs), also called as the …

Error analysis of MLFMA with closed-form expressions

M Kalfa, VB Ertürk, Ö Ergül - IEEE Transactions on Antennas …, 2021 - ieeexplore.ieee.org
The current state-of-the-art error control of the multilevel fast multipole algorithm (MLFMA) is
valid for any given error threshold at any frequency, but it requires a multiple-precision …

Multiple-Precision Arithmetic Implementation of the Multilevel Fast Multipole Algorithm

M Kalfa, Ö Ergül, VB Erturk - IEEE Transactions on Antennas …, 2023 - ieeexplore.ieee.org
We propose and demonstrate a multiple-precision arithmetic (MPA) framework applied to
the inherent hierarchical tree structure of the multilevel fast multipole algorithm (MLFMA) …

Open-source coprocessor for integer multiple precision arithmetic

K Rudnicki, TP Stefański, W Żebrowski - Electronics, 2020 - mdpi.com
This paper presents an open-source digital circuit of the coprocessor for an integer multiple-
precision arithmetic (MPA). The purpose of this coprocessor is to support a central …

Fast and efficient solutions of multiscale electromagnetic problems

B Khalichi - 2020 - search.proquest.com
We proposed a mixed-form MLFMA and incorporated it with the recently introduced potential
integral equations (PIEs), which are immune to the LF-breakdown problem, to obtain an …

A Fast Power Lines RCS Calculation Method Combining IEDG with CM-SMWA

C Chen, C Hu, J Zhou - Electronics, 2023 - mdpi.com
The existing methods for calculating electromagnetic scattering can be used to obtain the
RCS of power lines. However, these methods do not take advantage of the periodicity of …