Accuracy Directly Controlled Fast Direct Solution of General -Matrices and Its Application to Solving Electrodynamic Volume Integral Equations

M Ma, D Jiao - IEEE Transactions on Microwave Theory and …, 2017 - ieeexplore.ieee.org
The dense matrix resulting from an integral equation (IE)-based solution of Maxwell's
equations can be compactly represented by an H 2-matrix. Given a general dense H 2 …

A Novel Parallel Direct Solver Using Adaptive Cross Approximation for Analysis of Electromagnetic Radiation Problems with Complex Structures

R Jia, S Zuo, X Zhao, Z Lin, Y Zhang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this communication, a novel parallel fast direct solver based on adaptive cross
approximation (ACA) is presented for solving complex electromagnetic radiation problems …

Strong admissibility skeletonization factorization for fast direct solution of electromagnetic scattering from conducting objects

Z Rong, M Jiang, Y Chen, L Lei… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this article, a fast direct solver based on strong admissibility skeletonization factorization
(SASF) is proposed for electromagnetic scattering from conducting objects. Different from the …

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 …

Direct solution of scattering problems using generalized source integral equations

A Sharshevsky, Y Brick, A Boag - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
A class of inherently compressible integral equation formulations for problems of scattering
by impenetrable objects, which makes use of generalized directional sources, is presented …

A generalized source integral equation for enhanced compression in three dimensions

D Zvulun, Y Brick, A Boag - IEEE Transactions on Antennas …, 2023 - ieeexplore.ieee.org
An integral equation formulation, using generalized directional sources, for 3-D scattering by
impenetrable and essentially-convex bodies, is presented. This formulation increases the …

Fast Direct Solvers with Arbitrary Admissibility Using Generalized Source Integral Equations

Y Dahan, Y Brick - IEEE Transactions on Antennas and …, 2024 - ieeexplore.ieee.org
A hierarchical-(or-) matrix fast direct solver, utilizing a generalized source integral equation
(IE) for essentially convex scatterers, that is suitable for both strong and weak admissibility …

Fast direct surface integral equation solution for electromagnetic scattering analysis with skeletonization factorization

Z Rong, M Jiang, Y Chen, L Lei… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
A fast direct surface integral equation (SIE) solver based on a novel skeletonization
factorization scheme is proposed for electromagnetic scattering from electrically large and …

Increasing the butterfly-compressibility of moment matrix blocks: A quantitative study

Y Brick - IEEE Transactions on Antennas and Propagation, 2020 - ieeexplore.ieee.org
The butterfly (BF)-compressibility of moment matrix blocks is studied quantitatively for
various geometrical configurations and compression algorithm parameters. To enable …

A Dual-ACA-MoM Algorithm for EM Scattering From Multiple Identical Rigid Targets

SR Chai, LH Meng, LX Guo… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
To solve the electromagnetic (EM) scattering from multiple identical rigid targets with
traditional adaptive cross approximation method of moments (ACA-MoM), the multiple …