Electromagnetic integral equations: Insights in conditioning and preconditioning
Integral equation formulations are a competitive strategy in computational electromagnetics
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …
but, lamentably, are often plagued by ill-conditioning and by related numerical instabilities …
A butterfly-based direct integral-equation solver using hierarchical LU factorization for analyzing scattering from electrically large conducting objects
A butterfly-based direct combined-field integral-equation (CFIE) solver for analyzing
scattering from electrically large, perfect electrically conducting objects is presented. The …
scattering from electrically large, perfect electrically conducting objects is presented. The …
Real-time NDT-NDE through an innovative adaptive partial least squares SVR inversion approach
The real-time retrieval of the characteristics of a defect with eddy current testing in a
nondestructive testing and evaluation framework is addressed. An innovative statistical …
nondestructive testing and evaluation framework is addressed. An innovative statistical …
A review on fast direct methods of surface integral equations for analysis of electromagnetic scattering from 3-D PEC objects
This paper reviews a series of fast direct solution methods for electromagnetic scattering
analysis, aiming to significantly alleviate the problems of slow or even non-convergence of …
analysis, aiming to significantly alleviate the problems of slow or even non-convergence of …
Accuracy Directly Controlled Fast Direct Solution of General -Matrices and Its Application to Solving Electrodynamic Volume Integral Equations
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 …
equations can be compactly represented by an H 2-matrix. Given a general dense H 2 …
An HSS matrix-inspired butterfly-based direct solver for analyzing scattering from two-dimensional objects
A butterfly-based fast direct integral equation solver for analyzing high-frequency scattering
from two-dimensional objects is presented. The solver leverages a randomized butterfly …
from two-dimensional objects is presented. The solver leverages a randomized butterfly …
Fast Multilevel Computation of Low-Rank Representation of -Matrix Blocks
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 …
blocks' low-rank approximation is presented. The algorithm relies on efficient sampling of …
Fast direct solution of integral equations with modified HODLR structure for analyzing electromagnetic scattering problems
Z Rong, M Jiang, Y Chen, L Lei, X Li… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
A modified hierarchically off-diagonal low-rank (HODLR) fast direct solver is presented to
analyze the scattering by electrically large and complex perfect electric conducting objects …
analyze the scattering by electrically large and complex perfect electric conducting objects …
Analysis of electromagnetic scattering from homogeneous penetrable objects by a strong skeletonization-based fast direct solver
M Jiang, Z Rong, X Yang, L Lei, P Li… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This article presents a fast direct solver based on surface integral equation (SIE) to solve
electromagnetic (EM) scattering from homogeneous penetrable objects. The proposed …
electromagnetic (EM) scattering from homogeneous penetrable objects. The proposed …
Multiscale compressed and spliced Sherman–Morrison–Woodbury algorithm with characteristic basis function method
In this paper, a multiscale compressed and spliced Sherman-Morrison-Woodbury algorithm
(MSCS-SMWA), based on the characteristic basis function method (CBFM), has been …
(MSCS-SMWA), based on the characteristic basis function method (CBFM), has been …