On a a posteriori error estimator for the discontinuous Galerkin method
نویسنده
چکیده
We present in this paper a new a posteriori error estimator for the Baumann-Oden version of the Discontinuous Galerkin Method. The error estimator is based on the residual of the partial differential equation. In the case of the reaction-diffusion equation, the norm of the residual is shown to be equivalent to the error in some specific energy-type norms. We propose here a method to efficiently calculate the norm of the residual and present some numerical experiments which demonstrate the reliability of the methodology.
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