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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.date.accessioned2013-10-01T12:38:47Z
dc.date.created2013-08-24
dc.date.issued2013-08-24
dc.identifier.citationVerdugo, F.; Pares, N.; Diez, P. Modal-based goal-oriented error assessment for timeline-dependent quantities in transient dynamics. "International journal for numerical methods in engineering", 24 Agost 2013, vol. 95, núm. 8, p. 685-720.
dc.identifier.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/20244
dc.description.abstractThis article presents a new approach to assess the error in specific quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities of interest (referred as timeline-dependent quantities) is proposed. These quantities are scalar time-dependent outputs of the transient solution, which are better suited to time-dependent problems than the standard scalar ones, frozen in time. The proposed both the standard scalar and the new timeline-dependent quantities of interest. The key ingredient is the modal-based approximation of the associated adjoint problems, which allows efficiently computing and storing the adjoint solution. The approximated adjoint solution is readily post-processed to produce an enhanced solution, requiring only one spatial post-process for each vibration mode and using the time-harmonic hypothesis to recover the time dependence. Thus, the proposed goal-oriented error estimate consists in injecting this enhanced adjoint solution into the residual of the direct problem. The resulting estimate is very well suited for transient dynamic simulations because the enhanced adjoint solution is computed before starting the forward time integration of the direct problem. Thus, the cost of the error estimate at each time step is very low.
dc.format.extent36 p.
dc.language.isoeng
dc.publisherJohn Wiley & Sons
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshModal analysis
dc.subject.otherAdjoint problem
dc.subject.otherElastodynamics
dc.subject.otherGoal-oriented error assessment
dc.subject.otherModal analysis
dc.subject.otherQuantity of interest
dc.subject.otherTimeline-dependent quantity of interest
dc.subject.otherTransient dynamics
dc.titleModal-based goal-oriented error assessment for timeline-dependent quantities in transient dynamics
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1002/nme.4538
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://onlinelibrary.wiley.com/doi/10.1002/nme.4538/abstract
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac12743801
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorVerdugo, F.; Pares, N.; Diez, P.
local.citation.publicationNameInternational journal for numerical methods in engineering
local.citation.volume95
local.citation.number8
local.citation.startingPage685
local.citation.endingPage720


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