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Realistic computable error bounds for three dimensional finite element analyses in linear elasticity

Ainsworth, Mark and Rankin, Richard Andrew Robert (2011) Realistic computable error bounds for three dimensional finite element analyses in linear elasticity. Computer Methods in Applied Mechanics and Engineering, 200 (21-22). pp. 1909-1926. ISSN 0045-7825

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    Abstract

    We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions. We show that the estimator provides guaranteed upper bounds on the energy norm of the error as well as (up to a constant and data oscillation terms) local lower bounds.

    Item type: Article
    ID code: 37747
    Keywords: finite element, elasticity, computable error bounds, Probabilities. Mathematical statistics, Physics and Astronomy(all), Mechanics of Materials, Mechanical Engineering, Computational Mechanics, Computer Science Applications
    Subjects: Science > Mathematics > Probabilities. Mathematical statistics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 20 Feb 2012 14:20
    Last modified: 27 Mar 2014 21:24
    URI: http://strathprints.strath.ac.uk/id/eprint/37747

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