A Safeguarded Zienkiewicz-Zhu Estimator

Francesca Fierro () and Andreas Veeser ()
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Francesca Fierro: Universitá degli Studi di Milano, Dipartimento di Matematica
Andreas Veeser: Universitá degli Studi di Milano, Dipartimento di Matematica

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 269-276 from Springer

Abstract: Abstract For the linear finite element approximation to a linear elliptic model problem, we propose to safeguard the Zienkiewicz-Zhu estimator by an additional estimator for the residual of the averaged gradient. We give a brief account of the theoretical results on reliability, (local) efficiency, and asymptotic exactness of the full estimator and illustrate these properties in numerical tests, incorporating singular solutions and anisotropic ellipticity.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_20

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DOI: 10.1007/978-3-540-34288-5_20

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