The Mathematical Institute, University of Oxford, Eprints Archive

Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method. Technical Report. Unspecified. (Submitted)

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Abstract

We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorithm to deliver the functional to within a prescribed error tolerance.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1171
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:44
Last Modified:14 May 2011 08:44

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