The Mathematical Institute, University of Oxford, Eprints Archive

hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form.

Harriman, Kathryn and Houston, P. and Senior, Bill and Suli, Endre (2002) hp-Version discontinuous Galerkin methods with interior penalty for partial differential equations with nonnegative characteristic form. Technical Report. Unspecified. (Submitted)

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Abstract

In this paper we consider the a posteriori and a priori analysis of hp-discontinuous Galerkin interior penalty methods for second-order partial differential equations with nonnegative characteristic form. In particular, we discuss the question of error estimation for linear target functionals, such as the outflow flux and the local average of the solution. Based on our a posteriori error bound we design and implement the corresponding adaptive algorithm to ensure reliable and efficient control of the error in the prescribed functional to within a given tolerance. This involves exploiting both local polynomial-degree variation and local mesh subdivision. The theoretical results are illustrated by a series of numerical experiments.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1207
Deposited By:Lotti Ekert
Deposited On:19 May 2011 07:40
Last Modified:19 May 2011 07:40

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