The Mathematical Institute, University of Oxford, Eprints Archive

hp-version interior penalty DGFEMs for the biharmonic equation

Mozolevski, Igor and Suli, Endre (2004) hp-version interior penalty DGFEMs for the biharmonic equation. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1185
Deposited By:Lotti Ekert
Deposited On:18 May 2011 08:14
Last Modified:18 May 2011 08:14

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