The Mathematical Institute, University of Oxford, Eprints Archive

hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems

Houston, P. and Suli, Endre (2001) hp-Adaptive discontinuous Galerkin finite element methods for first-order hyperbolic problems. Technical Report. Unspecified. (Submitted)

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Abstract

We consider the a posteriori error analysis of hp-discontinuous Galerkin finite element approximations to first--order hyperbolic problems. In particular, we discuss the question of error estimation for linear 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:1246
Deposited By:Lotti Ekert
Deposited On:21 May 2011 17:08
Last Modified:21 May 2011 17:08

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