Discontinuous Galerkin hp-BEM with quasi-uniform meshes

Norbert Heuer and Salim Meddahi
 Numer. Math. 125 (4), 679-703, 2013.
We present and analyze a discontinuous variant of the hp-version of the boundary element Galerkin method with quasi-uniform meshes. The model problem is that of the hypersingular integral operator on an (open or closed) polyhedral surface. We prove a quasi-optimal error estimate and conclude convergence orders which are quasi-optimal for the h-version with arbitrary degree and almost quasi-optimal for the p-version. Numerical results underline the theory.