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

Georgoulis, Emmanuil H.; Hall, Edward; Houston, Paul

Authors

Emmanuil H. Georgoulis

Edward Hall

Paul Houston



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.

Journal Article Type Article
Publication Date Jan 1, 2006
Peer Reviewed Not Peer Reviewed
APA6 Citation Georgoulis, E. H., Hall, E., & Houston, P. (2006). Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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