The Mathematical Institute, University of Oxford, Eprints Archive

hp-Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity

Suli, Endre and Houston, P. and Senior, Bill (2001) hp-Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems: Error Analysis and Adaptivity. Technical Report. Unspecified. (Submitted)

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Abstract

We develop the a posteriori error analysis of the hp-version of the discontinuous Galerkin finite element method for linear and nonlinear hyperbolic problems. Sharp a posteriori error bounds are derived using a duality argument. The bounds exhibit an exponential rate of convergence under hp-refinement if either the primal or the dual solution is an analytic function over the computational domain. We implement the error bounds into an hp-adaptive finite element algorithm.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1244
Deposited By:Lotti Ekert
Deposited On:21 May 2011 17:05
Last Modified:21 May 2011 17:05

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