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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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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DOI: https://doi.org/10.1007/s11831-014-9096-x