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

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...

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Bibliographic Details
Main Authors: Georgoulis, Emmanuil H., Hall, Edward, Houston, Paul
Format: Article
Published: 2006
Online Access:https://eprints.nottingham.ac.uk/442/