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Erschienen in: Computational Mechanics 2/2014

01.08.2014 | Original Paper

Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution

verfasst von: Francesc Verdugo, Núria Parés, Pedro Díez

Erschienen in: Computational Mechanics | Ausgabe 2/2014

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Abstract

This article presents a space-time adaptive strategy for transient elastodynamics. The method aims at computing an optimal space-time discretization such that the computed solution has an error in the quantity of interest below a user-defined tolerance. The methodology is based on a goal-oriented error estimate that requires accounting for an auxiliary adjoint problem. The major novelty of this paper is using modal analysis to obtain a proper approximation of the adjoint solution. The idea of using a modal-based description was introduced in a previous work for error estimation purposes. Here this approach is used for the first time in the context of adaptivity. With respect to the standard direct time-integration methods, the modal solution of the adjoint problem is highly competitive in terms of computational effort and memory requirements. The performance of the proposed strategy is tested in two numerical examples. The two examples are selected to be representative of different wave propagation phenomena, one being a 2D bulky continuum and the second a 2D domain representing a structural frame.

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Metadaten
Titel
Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution
verfasst von
Francesc Verdugo
Núria Parés
Pedro Díez
Publikationsdatum
01.08.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 2/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-014-0988-2

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