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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 paul.houston@nottingham.ac.uk
Professor of Computational and Applied Maths



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.

Citation

Georgoulis, E. H., Hall, E., & Houston, P. (2006). Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis

Journal Article Type Article
Publication Date Jan 1, 2006
Deposit Date Nov 30, 2006
Publicly Available Date Oct 9, 2007
Peer Reviewed Not Peer Reviewed
Public URL https://nottingham-repository.worktribe.com/output/1018899

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