Data di Pubblicazione:
2006
Citazione:
A Safeguarded Zienkiewicz-Zhu estimator / F. Fierro, A. Veeser - In: Numerical Mathematics and Advanced Applications / [a cura di] A. Bermudez de Castro, D. Gomez, P. Quintela, P. Salgado. - Berlin : Springer, 2006. - ISBN 978-3-540-34287-8. - pp. 269-276 (( Intervento presentato al 6. convegno ENUMATH European Conference on Numerical Mathematics and Advanced Applications tenutosi a Santiago de Compostela, Spain nel 2005 [10.1007/978-3-540-34288-5_20].
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.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
A~posteriori error estimates ; gradient recovery ; averaging ; superconvergence ; adaptive finite elements ; ZZ estimator ; reliablity ; (local) efficiency ; asymptotic exactness ; anisotropy
Elenco autori:
F. Fierro, A. Veeser
Link alla scheda completa:
Titolo del libro:
Numerical Mathematics and Advanced Applications