Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error AnalysisTools Georgoulis, Emmanuil H., Hall, Edward and Houston, Paul (2006) Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis. Full text not available from this repository.AbstractWe 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.
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