HIERARCHICAL A POSTERIORI RESIDUAL BASED ERROR ESTIMATORS FOR BILINEAR FINITE ELEMENTS.

Braack, Malte and Taschenberger, N. (2013) HIERARCHICAL A POSTERIORI RESIDUAL BASED ERROR ESTIMATORS FOR BILINEAR FINITE ELEMENTS. International Journal of Numerical Analysis and Modeling, 10 (2). pp. 466-480.

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Abstract

We present techniques of a posteriori error estimation for
Q
1
finite element discretiza-
tions based on residual evaluations with respect to test functions of higher-order. This technique is
designed for quadrilateral (or hexahedral) triangulations and gives local error indicators in terms
of nodal contributions. We show reliability and efficiency of the estimator. Moreover, we present
a simplification which is attractive from computational point of view as well.

Document Type: Article
Additional Information: Times Cited: 0 Braack, Malte Taschenberger, Nico
Research affiliation: OceanRep > The Future Ocean - Cluster of Excellence > FO-R03
Kiel University
OceanRep > The Future Ocean - Cluster of Excellence > FO-R11
OceanRep > The Future Ocean - Cluster of Excellence
Refereed: Yes
ISSN: 1705-5105
Projects: Future Ocean
Date Deposited: 08 Jul 2014 08:54
Last Modified: 08 Mar 2017 09:25
URI: http://oceanrep.geomar.de/id/eprint/24846

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