A numerical method for a direct obstacle scattering problem

RBF Approximation of the Lippmann-Schwinger Equation

“…The numerical solution of the direct scattering problems has been studied in a large number of scientific papers and different numerical approaches have been proposed, such as for example (Elschner and Hu, 2012;Dong et al, 2022) propose a Galerkin method for the approximate solutions of the integral formulation of direct scattering problems; (Coifman et al, 1999;Maponi, 2005;Egidi et al, 2007;Egidi and Maponi, 2008;2004) propose perturbation approaches for the integral formulation of the direct scattering problem; (Ganesh and Hawkinsb, 2019;Egidi and Maponi, 2009) propose a fast multipole method for the integral formulation of the direct scattering problem; (Kanaun, 2015) proposes a Gaussian-RBF method to numerically solve the integral formulation of a direct scattering problem; (Li et al, 2018) the numerical solution of the differential form of the problem equipped with perfectly matched layer; (Duhamel, 2022) the finite element solution of the differential form of the problem; (Li et al, 2018) the numerical solution of the differential form of the problem equipped with absorbing boundary conditions.…”