Natural p-BEM for the electric field integral equation on screens
Alexei Bespalov and Norbert Heuer
IMA J. Numer. Anal. 30 (3), 595-628, 2010.
In this paper we analyse the p-version of the boundary element method
for the electric field integral equation on a plane open surface
with polygonal boundary. We prove convergence of the p-version with
Raviart-Thomas parallelogram elements
and derive an a priori error estimate which takes into account the strong
singular behaviour of the solution at edges and corners of the surface.
Key ingredient of our analysis is the orthogonality of discrete Helmholtz
decompositions in a Sobolev space of order -½.