Convergence of the natural hp-BEM for the electric field
integral equation on polyhedral surfaces
Alexei Bespalov, Norbert Heuer, Ralf Hiptmair
SIAM J. Numer. Anal. 48 (4), 1518-1529, 2010.
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.