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:Faculty of Science > School of Mathematical Sciences
ID Code:442
Deposited By:Houston, Paul
Deposited On:30 Nov 2006
Last Modified:24 Jun 2011 15:35

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