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math.NA2026
Maxwell à la Helmholtz: Direct boundary integral equations for 3D scattering by perfect electric conductors via Helmholtz operators
Carlos Pérez-Arancibia, Catalin Turc
This paper is the direct-formulation companion to [Burbano-Gallegos, Pérez-Arancibia, and Turc, ESAIM: M2AN, 60(1):273--315, 2026], which developed indirect combined-field-only bo…
math.NA2025
Maxwell à la Helmholtz: Electromagnetic scattering by 3D perfect electric conductors via Helmholtz integral operators
Juan Burbano-Gallegos, Carlos Pérez-Arancibia, Catalin Turc
This paper introduces a novel class of indirect boundary integral equation (BIE) formulations for the solution of electromagnetic scattering problems involving smooth perfectly ele…