Exponential convergence of the h-p version BEM for mixed boundary value problems on polyhedrons

We analyze the h-p version of the boundary element method for the mixed Dirichlet-Neumann problems of the Laplacian in polyhedral domains. Based on a regularity analysis of the solution in countably normed spaces, we show that the boundary element Galerkin solution of the h-p version converges exponentially fast on geometrically graded meshes (up to an additional term that converges algebraically with arbitrary high order). Copyright (C) 2008 John Wiley & Sons, Ltd.