The fast methods of high-frequency wave scattering in complex media and structures

YM Wu, YQ ** - Waves in Random and Complex Media, 2023 - Taylor & Francis
In this review work, we give a review of recent works of high-frequency electromagnetic (EM)
wave scattering in complex media and structures. The EM wave scattering from electrically …

Compression of volume-surface integral equation matrices via Tucker decomposition for magnetic resonance applications

II Giannakopoulos, GD Guryev… - IEEE transactions on …, 2021 - ieeexplore.ieee.org
In this work, we propose a method for the compression of the coupling matrix in volume-
surface integral equation (VSIE) formulations. VSIE methods are used for electromagnetic …

Fast direct solver for essentially convex scatterers using multilevel non-uniform grids

Y Brick, V Lomakin, A Boag - IEEE transactions on antennas …, 2014 - ieeexplore.ieee.org
A fast algorithm for the direct solution of the method of moments (MoM) systems of equations
describing scattering from essentially convex bodies is presented. The algorithm reveals the …

Fast Multilevel Computation of Low-Rank Representation of -Matrix Blocks

Y Brick, AE Yılmaz - IEEE Transactions on Antennas and …, 2016 - ieeexplore.ieee.org
A physics-based algorithm for accelerating the computation of method of moments matrix
blocks' low-rank approximation is presented. The algorithm relies on efficient sampling of …

Shadow radiation iterative physical optics method for high-frequency scattering

I Gershenzon, Y Brick, A Boag - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
A shadow-radiation-based fast iterative physical optics (IPO) scheme, for the analysis of the
scattering from large complex geometries involving multiple reflection and occlusion effects …

Near-field to far-field transformation on arbitrary surfaces via multi-level spherical wave expansion

FR Varela, BG Iragüen… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This article presents a general technique for the far-field transformation of near fields
measured over arbitrary surfaces and multimode probe correction in an efficient and …

Robust grid-based computation of H-matrix blocks' low-rank approximation for vector basis functions

JT Kelley, A Yilmaz, Y Brick - IEEE Transactions on Antennas …, 2022 - ieeexplore.ieee.org
A fast method to assess and correct the domain misrepresentation of impedance matrix
blocks,, based on their row-and column-sampling, to ensure the accuracy of their low-rank …

An iterative random sampling algorithm for rapid and scalable estimation of matrix spectra

JT Kelley, AE Yılmaz, Y Brick - IEEE Journal on Multiscale and …, 2023 - ieeexplore.ieee.org
An easy-to-implement iterative algorithm that enables efficient and scalable spectral
analysis of dense matrices is presented. The algorithm relies on the approximation of a …

Rapid rank estimation and low-rank approximation of impedance matrix blocks using proxy grids

Y Brick, AE Yılmaz - IEEE Transactions on Antennas and …, 2018 - ieeexplore.ieee.org
A physics-based rank-revealing multilevel algorithm to more efficiently compute low-rank
(LR) approximations of the method of moments matrix blocks Zos is presented. Using …

An explicit marching-on-in-time scheme for solving the time domain Kirchhoff integral equation

R Chen, SB Sayed, N Alharthi, D Keyes… - The Journal of the …, 2019 - pubs.aip.org
A fully explicit marching-on-in-time (MOT) scheme for solving the time domain Kirchhoff
(surface) integral equation to analyze transient acoustic scattering from rigid objects is …