Ernst P. Stephan

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This paper presents a posteriori error estimates for the hp{version of the boundary element method. We discuss two rst kind integral operator equations , namely Symm's integral equation and the integral equation with a hypersingular operator. The computable upper error bounds indicate an algorithm for the automatic hp{adaptive mesh{reenement. The eeciency(More)
This paper deals with the basic approximation properties of the h-p version of the boundary element method (BEM) in IR 3. We extend the results on the exponential convergence of the h-p version of the boundary element method on geometric meshes from problems in polygonal domains to problems in polyhedral domains. In 2D elliptic boundary value problems the(More)