An anisotropic recovery-based a posteriori error estimator

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, 2003, pp 731-741 from Springer

Abstract: Summary In this work we attempt to merge the advantages of an anisotropic mesh with an a posteriori error indicator, which is reasonably accurate and computationally simple, and is based on the Zienkiewicz-Zhu gradient recovery. This gives rise to an anisotropic version of the estimator. In particular, we show how it is possible to use it as part of an iterative algorithm for predicting the optimal mesh and we study its efficiency on the Poisson problem numerically.

Keywords: Error Estimator; Posteriori Error; Energy Norm; Effectivity Index; Discretization Error (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_66

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DOI: 10.1007/978-88-470-2089-4_66

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