Some recovery type error estimators for linear finite elements are analyzed under O(h1+α) (α > 0) regular grids. Superconvergence of order O(h1+ρ) (0 < ρ ≤ α ) 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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Xu et al. (2003) studied this question.
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