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Robust a posteriori error estimation for the nonconforming fortin-soulie finite element approximation

Ainsworth, M. and Rankin, R. (2008) Robust a posteriori error estimation for the nonconforming fortin-soulie finite element approximation. Mathematics of Computation, 77 (264). pp. 1917-1939. ISSN 0025-5718

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Abstract

We obtain a computable a posteriori error bound on the broken energy norm of the error in the Fortin-Soulie finite element approximation of a linear second order elliptic problem with variable permeability. This bound is shown to be efficient in the sense that it also provides a lower bound for the broken energy norm of the error up to a constant and higher order data oscillation terms. The estimator is completely free of unknown constants and provides a guaranteed numerical bound on the error.

Item type: Article
ID code: 19573
Keywords: robust a posteriori error estimation, nonconforming finite element, fortin-Soulie element, Electronic computers. Computer science, Mathematics, Computer software, Algebra and Number Theory, Computational Mathematics, Applied Mathematics
Subjects: Science > Mathematics > Electronic computers. Computer science
Science > Mathematics
Science > Mathematics > Computer software
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 01 Jun 2010 12:59
    Last modified: 05 Sep 2014 01:45
    URI: http://strathprints.strath.ac.uk/id/eprint/19573

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