The Mathematical Institute, University of Oxford, Eprints Archive

Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity

Suli, Endre and Houston, P. (1996) Finite element methods for hyperbolic problems: a posteriori error analysis and adaptivity. Technical Report. Unspecified. (Submitted)

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Abstract

This paper presents an overview of recent developments in the area of a posteriori error estimation for first-order hyperbolic partial differential equations. Global a posteriori error bounds are derived in the $H^{-1}$ norm for steady and unsteady finite element and finite volume approximations of hyperbolic systems and scalar hyperbolic equations. We also consider the problem of a posteriori error estimation for linear functionals of the solution. The a posteriori error bounds are implemented into an adaptive finite element algorithm.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1324
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:54
Last Modified:12 Jun 2011 09:54

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