2D scattering analysis through meshless methods: A comparison between two different shape function schemes

In this paper we apply a meshless method to the classical electromagnetic scattering integral field equations. These equations are discretized via two different schemes related to the construction of shape functions: the moving least squares (MLS) and the improved moving least squares (IMLS) approximations. We then establish a comparison between these two approximations in what concerns to their applicability and rates of convergence.