Automatic h-refinement through a-posteriori error estimation and discontinous Galerkin

Abstract

This work describes an automatic tool able to estimate the error in the Integral Equation solution in order to refine the mesh where the error is higher than the chosen threshold. The local refinement is performed through a hierarchical dyadic subdivision on the selected triangles to reach the desired error. As the resulting mesh is non-conformal, a Discontinous Galerkin scheme is applied.