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Error Assessment in Structural Transient Dynamics

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Abstract

This paper presents in a unified framework the most representative state-of-the-art techniques on a posteriori error assessment for second order hyperbolic problems, i.e., structural transient dynamics. For the sake of presentation, the error estimates are grouped in four types: recovery-based estimates, the dual weighted residual method, the constitutive relation error method and error estimates for timeline-dependent quantities of interest. All these methodologies give a comprehensive overview on the available error assessment techniques in structural dynamics, both for energy-like and goal-oriented estimates.

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Acknowledgments

Partially supported by Ministerio de Educación y Ciencia, Grant DPI2011-27778-C02-02 and Universitat Politècnica de Catalunya (UPC-BarcelonaTech), grant UPC-FPU.

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Authors and Affiliations

  1. Laboratori de Càlcul Numèric (LaCàN), Universitat Politècnica de Catalunya (UPC), Jordi Girona 1-3, 08034 , Barcelona, Spain

    Francesc Verdugo & Pedro Díez

  2. Laboratori de Càlcul Numèric (LaCàN), Escola Universitària d’Enginyeria Tècnica Industrial de Barcelona (EUETIB), Compte d’Urgell, 187, 08036 , Barcelona, Spain

    Núria Parés

  3. Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Gran Capitán s/n, 08034 , Barcelona, Spain

    Pedro Díez

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  1. Francesc Verdugo
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  2. Núria Parés
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  3. Pedro Díez
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Correspondence to Francesc Verdugo.

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Verdugo, F., Parés, N. & Díez, P. Error Assessment in Structural Transient Dynamics. Arch Computat Methods Eng 21, 59–90 (2014). https://doi.org/10.1007/s11831-014-9096-x

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