hp-dGFEM for Second-Order Elliptic Problems in Polyhedra II
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Date
2009Type
- Report
ETH Bibliography
yes
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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. Show more
Publication status
publishedJournal / series
Research reportVolume
Publisher
Seminar für Angewandte Mathematik, Eidgenössische Technische HochschuleMore
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ETH Bibliography
yes
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