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math.NA2023
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…
math.NA2023
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…