Year: 2013
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 2 : pp. 466–480
Abstract
We present techniques of a posteriori error estimation for $Q_1$ finite element discretizations 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-IJNAM-578
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 2 : pp. 466–480
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: error estimates adaptivity finite elements.