The Mathematical Institute, University of Oxford, Eprints Archive

Time and space adaptivity for the second-order wave equation

Bernardi, Christine and Suli, Endre (2004) Time and space adaptivity for the second-order wave equation. Technical Report. Unspecified. (Submitted)

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Abstract

The aim of this paper is to show that, for a linear second-order hyperbolic equation discretized by the backward Euler scheme in time and continuous piecewise linear finite elements in space, the adaptation of the time steps can be combined with spatial mesh adaptivity in an optimal way. We derive a priori and a posteriori error estimates which admit, as much as it is possible, the decoupling of the errors committed in the temporal and spatial discretizations.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1178
Deposited By:Lotti Ekert
Deposited On:18 May 2011 08:15
Last Modified:18 May 2011 08:15

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