1. hp-version interior penalty DGFEMs for the biharmonic equation
- Author
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Süli, Endre and Mozolevski, Igor
- Subjects
- *
FINITE element method , *GALERKIN methods , *BIHARMONIC equations , *A priori , *ERROR analysis in mathematics , *NUMERICAL analysis - 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. [Copyright &y& Elsevier]
- Published
- 2007
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