%0 Journal Article
%T Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces
%A Alexei Bespalov
%A Norbert Heuer
%A Ralf Hiptmair
%J Mathematics
%D 2009
%I arXiv
%X We consider the variational formulation of the electric field integral equation (EFIE) on bounded polyhedral open or closed surfaces. We employ a conforming Galerkin discretization based on div-conforming Raviart-Thomas boundary elements (BEM) of locally variable polynomial degree on shape-regular surface meshes. We establish asymptotic quasi-optimality of Galerkin solutions on sufficiently fine meshes or for sufficiently high polynomial degree.
%U http://arxiv.org/abs/0907.5231v1