A Comparison Between Several Mesh Truncation Methods for hp-Adaptivity in Electromagnetics

Finite element hp-adaptivity is a technology that allows for very accurate numerical solutions. When applied to open region problems (as for radar cross section prediction or antenna analysis), a mesh truncation method needs to be used. In this paper, a comparison between the following mesh truncation methods, together with hp-adaptivity, is made: infinite elements, perfect matched layer and the boundary element based methodology used in I. Gomez-Revuelto et al. (2007). These methods have been selected because they are exact at the continuous level and provide an easy integration with the logic of hp-adaptivity. The comparison is made in terms of the number of degrees of freedom needed for each method to achieve a given level of accuracy.