Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis

Georgoulis, Emmanuil H. and Hall, Edward and Houston, Paul (2006) Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis.

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Abstract

We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite element spaces employed. In particular, we prove a priori hp-error bounds for linear target functionals of the solution, on (possibly) anisotropic computational meshes with anisotropic tensor-product polynomial basis functions. The theoretical results are illustrated by a numerical experiment.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Houston, Paul
Date Deposited: 30 Nov 2006
Last Modified: 24 Jun 2011 14:35
URI: http://eprints.nottingham.ac.uk/id/eprint/442

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