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 …
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 …
On MLMDA/butterfly compressibility of inverse integral operators
The multilevel matrix decomposition algorithm (MLMDA) is shown to permit effective
compression of inverse integral operators pertinent to the analysis of scattering from …
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 …
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 …
A butterfly‐based direct solver using hierarchical LU factorization for Poggio‐Miller‐Chang‐Harrington‐Wu‐Tsai equations
A butterfly‐based hierarchical LU factorization scheme for solving the PMCHWT equations
for analyzing scattering from homogenous dielectric objects is presented. The proposed …
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 …
(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
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 …
in climate/weather applications. By defining a particular statistical model, the maximum …
-Matrices Compressed Multiplicative Schwarz Preconditioner for Nonconformal FEM-BEM-DDM
An H-matrices compressed multiplicative Schwarz (MS) preconditioner for the nonconformal
finite-element method (FEM)-boundary element method (BEM)-Domain decomposition …
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 …
factorization scheme is proposed for electromagnetic scattering from electrically large and …