Dual adaptive finite element refinement for multiple local quantities in linear elastostatics

Authors

  • O. J. B. Almeida Pereira,

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    1. Department of Civil Engineering and Architecture, Instituto Superior Técnico, Technical University of Lisbon, Portugal
    • Department of Civil Engineering and Architecture, IST, Technical University of Lisbon, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
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  • J. P. Moitinho de Almeida

    1. Department of Civil Engineering and Architecture, Instituto Superior Técnico, Technical University of Lisbon, Portugal
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Abstract

In this paper, we summarize how dual analysis techniques can be used to determine upper bounds of the discretization error, both in terms of global and local outputs. We present formulas for the bounds of the error in local outputs, based on the approach proposed by Greenberg in 1948 and we show that the resulting intervals are the same as those previously presented, based on the approach proposed by Washizu in 1953. We then explain how the elemental contributions to these bounds can be used to define an adaptive strategy that considers multiple quantities and we present its application to a simple plane stress problem. Copyright © 2010 John Wiley & Sons, Ltd.

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