Anisotropic Adaptation via a Zienkiewicz–Zhu Error Estimator for 2D Elliptic Problems

S. Micheletti () and S. Perotto ()
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S. Micheletti: Politecnico di Milano, MOX, Dipartimento di Matematica “F. Brioschi”
S. Perotto: Politecnico di Milano, MOX, Dipartimento di Matematica “F. Brioschi”

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 645-653 from Springer

Abstract: Abstract We propose a Zienkiewicz–Zhu a posteriori error estimator in 2D, which shares the computational advantages typical of the original estimator. The novelty is the inclusion of the geometrical features of the computational mesh, useful for an anisotropic mesh adaptation. The adapted triangulations are shown numerically to be quasi-optimal with respect to the error-vs-number of elements behavior.

Keywords: Posteriori Error; Posteriori Error Estimate; Adaptive Procedure; Recovery Procedure; Posteriori Error Estimator (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_69

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DOI: 10.1007/978-3-642-11795-4_69

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