A Posteriori Error Estimation by a Q 1 ∕ Q 2 Hierarchical Basis

M. Braack () and N. Taschenberger ()
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M. Braack: Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar
N. Taschenberger: Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 23-31 from Springer

Abstract: Abstract This work presents an a posteriori error estimation technique for Q 1 finite elements on quadrilateral triangulations by residual evaluations with respect to biquadratic test functions. The localization is performed in terms of nodal error indicators instead of cell contributions. The reliability and efficiency of the estimator is shown. Further, we discuss a simplified estimator which is even more attractive from the computational point of view.

Keywords: Posteriori Error Estimation Techniques; Hierarchical Basis; Error Indicator; Residual Higher Order; Global Refinement (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_3

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DOI: 10.1007/978-3-642-33134-3_3

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