hp-dGFEM for second-order elliptic problems in polyhedra. II: Exponential convergence
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2009-09
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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 three-dimensional polyhedral domains. More precisely, we shall analyze the convergence of the $hp$-IP dG methods considered in [33] which are based on $\sigma$-geometric anisotropic meshes and anisotropic polynomial degree distributions of $\mu$-bounded variation.
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published
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2009-29
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Seminar for Applied Mathematics, ETH Zurich
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Revised: January 2012
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02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
03435 - Schwab, Christoph / Schwab, Christoph
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247277 - Automated Urban Parking and Driving (EC)