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

Authors:	Jinchao Xu Zhimin Zhang

Institution:	Center for Computational Mathematics and Applications, Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802 ; Department of Mathematics, Wayne State University, Detroit, Michigan 48202

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.

Keywords:	Gradient recovery ZZ patch recovery superconvergence {\it a posteriori} error estimates

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