A butterfly-based direct integral-equation solver using hierarchical LU factorization for analyzing scattering from electrically large conducting objects

H Guo, Y Liu, J Hu, E Michielssen - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
A butterfly-based direct combined-field integral-equation (CFIE) solver for analyzing
scattering from electrically large, perfect electrically conducting objects is presented. The …

A review on fast direct methods of surface integral equations for analysis of electromagnetic scattering from 3-D PEC objects

M Jiang, Y Li, L Lei, J Hu - Electronics, 2022 - mdpi.com
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 …

On MLMDA/butterfly compressibility of inverse integral operators

H Guo, J Hu, E Michielssen - IEEE Antennas and Wireless …, 2012 - ieeexplore.ieee.org
The multilevel matrix decomposition algorithm (MLMDA) is shown to permit effective
compression of inverse integral operators pertinent to the analysis of scattering from …

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 …

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 …

A butterfly‐based direct solver using hierarchical LU factorization for Poggio‐Miller‐Chang‐Harrington‐Wu‐Tsai equations

H Guo, Y Liu, J Hu, E Michielssen - Microwave and Optical …, 2018 - Wiley Online Library
A butterfly‐based hierarchical LU factorization scheme for solving the PMCHWT equations
for analyzing scattering from homogenous dielectric objects is presented. The proposed …

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 …

Parallel approximations of the Tukey g-and-h likelihoods and predictions for non-Gaussian geostatistics

S Mondal, S Abdulah, H Ltaief, Y Sun… - 2022 IEEE …, 2022 - ieeexplore.ieee.org
Maximum likelihood estimation is an essential tool in the procedure to impute missing data
in climate/weather applications. By defining a particular statistical model, the maximum …

-Matrices Compressed Multiplicative Schwarz Preconditioner for Nonconformal FEM-BEM-DDM

PH Jia, J Hu, Y Chen, R Zhang, L Lei… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
An H-matrices compressed multiplicative Schwarz (MS) preconditioner for the nonconformal
finite-element method (FEM)-boundary element method (BEM)-Domain decomposition …

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 …