Data di Pubblicazione:
2006
Citazione:
A posteriori error estimators, gradient recovery by averaging, and superconvergence / A. Veeser, F. Fierro. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - 103:2(2006 Apr), pp. 267-298.
Abstract:
For the linear finite element solution to a linear elliptic model problem, we derive an error estimator based upon appropriate gradient recovery by local averaging. In contrast to popular variants like the ZZ estimator, our estimator contains some additional terms that ensure reliability also on coarse meshes. Moreover, the enhanced estimator is proved to be (locally) efficient and asymptotically exact whenever the recovered gradient is superconvergent. We formulate an adaptive algorithm that is directed by this estimator and illustrate its aforementioned properties, as well as their importance, in numerical tests.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
A posteriori error estimates, gradient recovery, averaging, superconvergence, adaptive finite elements, ZZ estimator, reliablity, (local) efficiency, asymptotic exactness, anisotropy
Elenco autori:
A. Veeser, F. Fierro
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