The Unimoment Method and a meshless local boundary integral equation (LBIE) approach in 2D Electromagnetic wave scattering

In this work, we solve the scattering problem of a plane wave by a dielectric cylinder through the Unimoment Method, where a new approach was taken when solving the interior problem: a meshless method based on local boundary integral equations (LBIE). Traditionally, the interior problem is attacked through the finite element method, because one gets sparse matrices. But as in FEM, a meshless LBIE approach also provides sparse matrices, without the drawback of constructing a grid. We develop the formalism and illustrate the application of the aforementioned method to the scattering by a dielectric circular cylinder, a problem which is known to possess analytical solution.