hp-dGFEM for second-order elliptic problems in polyhedra. II: Exponential convergence


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2009-10

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Report

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Abstract

The goal of this paper is to establish exponential convergence of hp-version interior penalty (IP) discontinuous Galerkin (dG) finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with piecewise analytic data in threedimensional polyhedral domains. More precisely, we shall analyze the convergence of the hp-IP dG methods considered in [30] which are based on !-geometric anisotropic meshes of mapped hexahedra with "-uniform element mappings and anisotropic polynomial degree distributions of μ-bounded variation.

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2009-29

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Seminar for Applied Mathematics, ETH Zurich

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