2 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
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…