An A Posteriori Error Indicator for Discontinuous Galerkin Approximations of Fourth Order Elliptic Problems

We introduce a residual-based a posteriori error indicator for discontinuous Galerkin discretizations of the biharmonic equation with essential boundary conditions. We show that the indicator is both reliable and efficient with respect to the approximation error measured in terms of a natural energy...

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Bibliographic Details
Main Authors: Georgoulis, Emmanuil H., Houston, Paul, Virtanen, Juha
Format: Article
Published: Oxford University Press 2008
Online Access:https://eprints.nottingham.ac.uk/913/