Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects

J Song, CC Lu, WC Chew - IEEE transactions on antennas and …, 1997 - ieeexplore.ieee.org
The fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) are
reviewed. The number of modes required, block-diagonal preconditioner, near singularity …

The fast multipole method: numerical implementation

E Darve - Journal of Computational Physics, 2000 - Elsevier
We study integral methods applied to the resolution of the Maxwell equations where the
linear system is solved using an iterative method which requires only matrix–vector …

A multilevel matrix decomposition algorithm for analyzing scattering from large structures

E Michielssen, A Boag - IEEE Transactions on Antennas and …, 1996 - ieeexplore.ieee.org
A multilevel algorithm is presented for analyzing scattering from electrically large surfaces.
The algorithm accelerates the iterative solution of integral equations that arise in …

Characteristic basis function method for iteration-free solution of large method of moments problems

R Mittra, K Du - Progress In Electromagnetics Research B, 2008 - jpier.org
Recent years have witnessed a phenomenal growth in our ability to numerically model,
simulate the performance of, and design complex electromagnetic systems. Nonetheless, as …

Fast solution methods in electromagnetics

WC Chew, JM Jin, CC Lu… - IEEE Transactions on …, 1997 - ieeexplore.ieee.org
Various methods for efficiently solving electromagnetic problems are presented.
Electromagnetic scattering problems can be roughly classified into surface and volume …

An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems

E Lucente, A Monorchio, R Mittra - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
We describe a numerically efficient strategy for solving a linear system of equations arising
in the Method of Moments for solving electromagnetic scattering problems. This novel …

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 …

Fast Illinois solver code (FISC)

JM Song, CC Lu, WC Chew… - IEEE Antennas and …, 1998 - ieeexplore.ieee.org
FISC (Fast Illinois solver code), co-developed by the Center for Computational
Electromagnetics, University of Illinois, and DEMACO, is designed to compute the RCS of a …

A mixed-form fast multipole algorithm

LJ Jiang, WC Chew - IEEE Transactions on Antennas and …, 2005 - ieeexplore.ieee.org
The fast multipole algorithm manifests in two very different forms at low frequencies and at
mid frequencies. Each can operate in their respective regimes, but are not tenable in the …

Fast far‐field approximation for calculating the RCS of large objects

CC Lu, WC Chew - Microwave and optical technology letters, 1995 - Wiley Online Library
A fast far‐field approximation (FAFFA) is developed to estimate the RCS of conducting
scatterers. This method accounts for the interaction between subscatterers in two ways …