The Mathematical Institute, University of Oxford, Eprints Archive

The importance of adjoint consistency in the approximation of linear functionals using the discontinuous Galerkin finite element method

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) The importance of adjoint consistency in the approximation of linear functionals using the discontinuous Galerkin finite element method. Technical Report. Unspecified. (Submitted)

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Abstract

We describe how a discontinuous Galerkin finite element method with interior penalty can be used to compute the solution to an elliptic partial differential equation and a linear functional of this solution can be evaluated. We show that, in order to have an adjoint consistent method and thus obtain optimal rates of convergence of the functional, a symmetric interior penalty Galerkin method must be used and, when the functional depends on the derivative of the solution of the PDE, an equivalent formulation of the functional must be used.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1172
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:44
Last Modified:14 May 2011 08:44

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