Functional a Posteriori Error Estimates for Discontinuous Galerkin Approximations of Elliptic Problems
نویسندگان
چکیده
In this paper, we develop functional a posteriori error estimates for DG approximations of elliptic boundary-value problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estimates for conforming approximations (see [30, 31]). On these grounds we derive two-sided guaranteed and computable bounds for the errors in ”broken” energy norms. A series of numerical examples presented confirm the efficiency of the estimates.
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