6 citations · 11 across the 5 of their papers we have counts for
5 papers
Fast high-order solvers for the Lippmann--Schwinger equation in piecewise-smooth heterogeneous media
Thomas G. Anderson, Juan Burbano-Gallegos, Luiz M. Faria +1
This article presents a fast, high-order Nyström solver for the two-dimensional Lippmann--Schwinger equation arising from time-harmonic scattering by penetrable, piecewise-smooth h…
A general-purpose global regularization method for 3D volume integral operators
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
Singular volume integral operators associated with constant-coefficient partial differential operators extend the applicability of potential theory to inhomogeneous problems, for e…
A Uniformly High-Accuracy PML-BIE Method for Scattering by Periodic Arrays of Obstacles: The 2D Case
Yan Tan, Carlos Pérez-Arancibia, Tao Yin
This paper presents a novel frequency-robust perfectly matched layer (PML) boundary integral equation (BIE) method for solving two-dimensional electromagnetic scattering problems i…
Fast, high-order numerical evaluation of volume potentials via polynomial density interpolation
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
This article presents a high-order accurate numerical method for the evaluation of singular volume integral operators, with attention focused on operators associated with the Poiss…
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles
Thomas Strauszer-Caussade, Luiz M. Faria, Agustín Fernandez-Lado +1
This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two-dimensional pene…