Abstract
In this article, an equilibrated gradient recovery error estimator is introduced and analyzed. Regional and global error bounds are established under the equilibrium condition. Furthermore, the error estimator based on the ZZ patch recovery technique is analyzed theoretically. Stability and consistent properties are proved under mild assumptions. All results are valid for arbitrary grids.
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Zhang, Z. A Posteriori Error Estimates on Irregular Grids Based on Gradient Recovery. Advances in Computational Mathematics 15, 363–374 (2001). https://doi.org/10.1023/A:1014221409940
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DOI: https://doi.org/10.1023/A:1014221409940