Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499763 | Computer Methods in Applied Mechanics and Engineering | 2007 | 13 Pages |
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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Computer Science
Computer Science Applications
Authors
Endre Süli, Igor Mozolevski,