On the suboptimality of the p-version interior penalty discontinuous Galerkin method

We address the question of the rates of convergence of the p-version interior penalty discontinuous Galerkin method (p-IPDG) for second order elliptic problems with non-homogeneous Dirichlet boundary conditions. It is known that the p-IPDG method admits slightly suboptimal a-priori bounds with respe...

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Bibliographic Details
Main Authors: Georgoulis, Emmanuil H., Hall, Edward, Melenk, Jens Markus
Format: Article
Published: Springer Netherlands 2009
Subjects:
Online Access:https://eprints.nottingham.ac.uk/1128/