271 citations · 392 across the 11 of their papers we have counts for
13 papers
High-order kernel regularization of singular and hypersingular Helmholtz boundary integral operators
Luiz M. Faria, Carlos Perez-Arancibia, Svetlana Tlupova
This paper extends and analyzes the high-order kernel regularization framework of Beale & Tlupova (arXiv:2510.13639) to all four on-surface boundary integral operators of the Helmh…
Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries
Luiz Faria, Carlos Perez-arancibia, Catalin Turc
We analyze the well posedness of certain field-only boundary integral equations (BIE) for frequency domain electromagnetic scattering from perfectly conducting spheres. Starting fr…
Windowed Green Function MoM for Second-Kind Surface Integral Equation Formulations of Layered Media Electromagnetic Scattering Problems
Rodrigo Arrieta, Carlos Pérez-Arancibia
This paper presents a second-kind surface integral equation method for the numerical solution of frequency-domain electromagnetic scattering problems by locally perturbed layered m…
On the regularization of Cauchy-type integral operators via the density interpolation method and applications
Vicente Gómez, Carlos Pérez-Arancibia
This paper presents a regularization technique for the high order efficient numerical evaluation of nearly singular, principal-value, and finite-part Cauchy-type integral operators…
Planewave density interpolation methods for 3D Helmholtz boundary integral equations
Carlos Pérez-Arancibia, Catalin Turc, Luiz Faria
This paper introduces planewave density interpolation methods for the regularization of weakly singular, strongly singular, hypersingular and nearly singular integral kernels prese…
Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces
Ignacio Labarca, Luiz M. Faria, Carlos Pérez-Arancibia
This paper presents a class of boundary integral equation methods for the numerical solution of acoustic and electromagnetic time-domain scattering problems in the presence of unbo…