A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
نویسندگان
چکیده
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 Lt (L 2 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.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 18 شماره
صفحات -
تاریخ انتشار 2005