@inproceedings{DavidOnTS, title={On the Superconvergence of Galerkin Methods for Hyperbolic IBVP}, author={David and Bertil and Pell{\'e} and Olsson and Bồ} }

Finite element Galerkin methods for periodic first order hyperbolic equations exhibit superconvergence on uniform grids at the nodes, i. e., there is an error estimate O(h 2r) instead of the expected approximation order O(hr). In this paper it will be shown that no matter how the approximating subspace S h is chosen, the superconvergence property is lost if… CONTINUE READING

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