Fast direct solvers for integral equations in complex three-dimensional domains

L Greengard, D Gueyffier, PG Martinsson, V Rokhlin - Acta Numerica, 2009 - cambridge.org
Methods for the solution of boundary integral equations have changed significantly during
the last two decades. This is due, in part, to improvements in computer hardware, but more …

Efficient computation of three-dimensional scattering of vector electromagnetic waves

WC Chew, CC Lu, YM Wang - JOSA A, 1994 - opg.optica.org
A review of different methods of solving for the solution of scattering by three-dimensional
objects is presented. There are two main classes of methods: one is for solving the …

Inversion-free evaluation of nearest neighbors in method of moments

M Capek, L Jelinek… - IEEE Antennas and …, 2019 - ieeexplore.ieee.org
A recently introduced technique of topology sensitivity in method of moments is extended by
the possibility of adding degrees of freedom (reconstruct) into the underlying structure. The …

Recursive algorithm for wave-scattering solutions using windowed addition theorem

WC Chew, YM Wang, L Gürel - Journal of electromagnetic waves …, 1992 - Taylor & Francis
A review of a recursive algorithm with a more succinct derivation is first presented. This
algorithm, which calculates the scattering solution from an inhomogeneous body, first …

The recursive aggregate interaction matrix algorithm for multiple scatterers

WC Chew, CC Lu - IEEE Transactions on Antennas and …, 1995 - ieeexplore.ieee.org
The recursive aggregate interaction matrix algorithm (RAIMA) for calculating a wave
scattering solution is developed. This algorithm combines the strength of both the recursive …

Analysis of partial modifications on electrically large bodies via characteristic basis functions

J Laviada, J Gutierrez-Meana, MR Pino… - IEEE Antennas and …, 2010 - ieeexplore.ieee.org
The efficient analysis of multiple problems that only differ on a small portion of the entire
geometry is considered in this work. The method-of-moments (MoM) matrix is compressed …

Recursive algorithms for calculating the scattering from N strips or patches

L Gurel, WC Chew - IEEE transactions on antennas and …, 1990 - ieeexplore.ieee.org
Using the definition of recursive relations for the reflection operator for N strips or patches,
two easily programmable recursive algorithms are developed to calculate the …

Analysis of Partial Modification Problems Using Integral Equation Discontinuous Galerkin With Mesh Modification Algorithm

X Li, Z Shen, X Chen, C Gu - IEEE Antennas and Wireless …, 2021 - ieeexplore.ieee.org
The method based on the partitioned inverse matrix formula and the Sherman–Morrison–
Woodbury formula has been developed to solve the partial modification problems efficiently …

A fast algorithm to compute the wave-scattering solution of a large strip

WC Chew, CC Lu - Journal of Computational Physics, 1993 - Elsevier
A truncated, nonuniform, finite array of strips does not have a closed form solution. Using
translational symmetry, a recursive algorithm that calculates the scattering solution with N …

Obtaining scattering solutions for perturbed geometries and materials from moment method solutions

E Yip - The Applied Computational Electromagnetics …, 1988 - journals.riverpublishers.com
In this paper, we present an efficient method for computing the solution to scattering
problems using a perturbation scheme based on the solution of related original problems …