A Local Boundary Integral Equation (LBIE) Method in 2D electromagnetic wave scattering, and a meshless discretization approach

In this work, we apply the Local Boundary Integral Equation (LBIE) Method to the scattering problem of a plane wave by a dielectric cylinder. This method together with a meshless discretization approach, known as meshless, provides very accurate results, when compared to analytical solutions. The method is an efficient tool in electromagnetic scattering analysis because among its principal characteristics, it is based on local interactions, thus leading to a sparse matrix.