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    Time-domain goal-oriented adaptivity using pseudo-dual error representations

    257402.pdf (2.812Mb)
    Access Status
    Open access
    Authors
    Munoz-Matute, J.
    Alberdi, E.
    Pardo, D.
    Calo, Victor
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Munoz-Matute, J. and Alberdi, E. and Pardo, D. and Calo, V. 2017. Time-domain goal-oriented adaptivity using pseudo-dual error representations. Computer Methods in Applied Mechanics and Engineering. 325 (1): pp. 395-415.
    Source Title
    Computer Methods in Applied Mechanics and Engineering
    DOI
    10.1016/j.cma.2017.06.037
    ISSN
    0045-7825
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/58972
    Collection
    • Curtin Research Publications
    Abstract

    Goal-oriented adaptive algorithms produce optimal grids to solve challenging engineering problems. Recently, a novel error representation using (unconventional) pseudo-dual problems for goal-oriented adaptivity in the context of frequency-domain wave-propagation problems has been developed. In this paper, we extend this error representation to the case of time-domain problems. We express the entire problem in weak form in order to derive the adjoint formulation and apply goal-oriented adaptivity. One dimensional (1D) numerical results show that upper bounds for the new error representation are sharper than the classical ones. Therefore, this new error representation can be used to design more efficient goal-oriented adaptive methodologies.

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