3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2024
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…