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dc.contributor.authorVerdugo Rojano, Francesc
dc.contributor.authorParés Mariné, Núria
dc.contributor.authorDíez, Pedro
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationVerdugo, F., Pares, N., Diez, P. Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution. "Computational Mechanics", 01 Agost 2014, vol. 54, núm. 2, p. 331-352.
dc.description.abstractThis 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.
dc.format.extent22 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subject.lcshNumerical analysis
dc.subject.otherGoal-oriented error assessment
dc.subject.otherAdjoint problem
dc.subject.otherQuantity of interest
dc.subject.otherModal analysis
dc.subject.otherFinite-element methods
dc.subject.otherDiffusion-reaction equation
dc.subject.otherError estimation
dc.subject.otherFunctional outputs
dc.subject.otherExact boubds
dc.subject.otherLinear elasticty
dc.titleGoal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution
dc.subject.lemacAnàlisi numèrica
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorVerdugo, F.; Pares, N.; Diez, P.
local.citation.publicationNameComputational Mechanics

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