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hp-version interior penalty DGFEMs for the biharmonic equation

Abstract:
We construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric methods. Our main concern is to establish the stability and to develop the a priori error analysis of these methods. We establish error bounds that are optimal in h and slightly suboptimal in p. The theoretical results are confirmed by numerical experiments.

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Igor Mozolevski More by this author
Endre Suli More by this author
Publication date:
2004-02-05
URN:
uuid:26629c50-dc5b-4ecd-9604-17659e6ae0b3
Local pid:
oai:eprints.maths.ox.ac.uk:1185

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