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In this paper the hp-version of the boundary element method is applied to theelectric field integral equation on a piecewise plane (open or closed)Lipschitz surface. The underlying meshes are supposed to be quasi-uniform. Weuse H(div)-conforming discretisations with quadrilateral elements ofRaviart-Thomas type and establish quasi-optimal convergence ofhp-approximations. Main ingredient of our analysis is a newH^{-1/2}(div)-conforming p-interpolation operator that assumes only H^r \capH^{-1/2}(div)-regularity (r > 0) and for which we show quasi-stability withrespect to polynomial degrees.

On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces