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

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

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. 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• Peer Reviewed: Not Peer Reviewed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