hp-discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity

In this paper we develop the a posteriori error analysis of the hp-version of the discontinuous Galerkin finite element method for linear and non-linear hyperbolic problems. By employing a duality argument, sharp a posteriori error bounds are derived for certain output functionals of practical inter...

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Bibliographic Details
Main Authors: Houston, P, Senior, B, Suli, E
Format: Conference item
Published: 2002