Abstract
In this paper we analyze an a posteriori error estimator based on the equilibrated residual method. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and \(O(h^{1+\alpha})\ (\alpha > 0)\) meshes. Numerical examples are included to illustrate the theoretical results.
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Maxim, A. Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method. Numer. Math. 106, 225–253 (2007). https://doi.org/10.1007/s00211-007-0064-3
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DOI: https://doi.org/10.1007/s00211-007-0064-3