4 papers
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…
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…
Stability estimates of Nyström discretizations of Helmholtz decomposition boundary integral equation formulations for the solution of Navier scattering problems in two dimensions with Dirichlet boundary conditions
Victor Dominguez, Catalin Turc
Helmholtz decompositions of elastic fields is a common approach for the solution of Navier scattering problems. Used in the context of Boundary Integral Equations (BIE), this appro…
Robust boundary integral equations for the solution of elastic scattering problems via Helmholtz decompositions
V. Dominguez, C. Turc
Helmholtz decompositions of the elastic fields open up new avenues for the solution of linear elastic scattering problems via boundary integral equations (BIE) [Dong, Lai, Li, Math…