Analysis of recovery type a posteriori error estimators for mildly structured grids

Xu, Jinchao; Zhang, Zhimin

doi:10.1090/S0025-5718-03-01600-4

Analysis of recovery type a posteriori error estimators for mildly structured grids
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Math. Comp. 73 (2004), 1139-1152 Request permission

Abstract:

Some recovery type error estimators for linear finite elements are analyzed under $O(h^{1+\alpha })$ $(\alpha > 0)$ regular grids. Superconvergence of order $O(h^{1+\rho })$ $(0 < \rho \le \alpha )$ is established for recovered gradients by three different methods. As a consequence, a posteriori error estimators based on those recovery methods are asymptotically exact.

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