Hierarchical a Posteriori Residual Based Error Estimators for Bilinear Finite Elements

Abstract

We present techniques of a posteriori error estimation for Q1 finite element discretizations based on residual evaluations with respect to test functions of higher-order. This technique is designed for quadrilateral (or hexahedral) triangulations and gives local error indicators in terms of nodal contributions. We show reliability and efficiency of the estimator. Moreover, we present a simplification which is attractive from computational point of view as well.

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Cite this paper

@inproceedings{Braack2012HierarchicalAP, title={Hierarchical a Posteriori Residual Based Error Estimators for Bilinear Finite Elements}, author={Malte Braack}, year={2012} }