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2005

A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations

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A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
A posteriori error estimates are derived for unsteady convection-diffusion equations discretized with the non-symmetric interior penalty and the local discontinuous Galerkin methods. First, an error representation formula in a user specified output functional is derived using duality techniques. Then, an L2 t (L2 x) a posteriori estimate consisting of elementwise residual-based error indicators is obtained by eliminating the dual solution. Numerical experiments are performed to assess the convergence rate of the various error indicators on a model problem. Key words: a posteriori error estimates, duality techniques, non-symmetric interior penalty, local discontinuous Galerkin, convection-diffusion equations
Alexandre Ern, Jennifer Proft
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where APPML
Authors Alexandre Ern, Jennifer Proft
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