A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

Several a posteriori error estimators are introduced and analyzed for a discontinuous Galerkin formulation of a model second-order elliptic problem. In addition to residual-type estimators, we introduce some estimators that are couched in the ideas and techniques of domain decomposition. Results of numerical experiments are presented.

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