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dc.contributor.authorMuñoz-Matute J.en_US
dc.contributor.authorPardo D.en_US
dc.contributor.authorCalo V.M.en_US
dc.contributor.authorAlberdi E.en_US
dc.date.accessioned2019-05-02T17:18:34Z
dc.date.available2019-05-02T17:18:34Z
dc.date.issued2019-03
dc.identifier.issn1097-0207
dc.identifier.urihttp://hdl.handle.net/20.500.11824/974
dc.description.abstractIn goal-oriented adaptive algorithms for partial differential equations, we adapt the finite element mesh in order to reduce the error of the solution in some quantity of interest. In time-dependent problems, this adaptive algorithm involves solving a dual problem that runs backward in time. This process is, in general, computationally expensive in terms of memory storage. In this work, we define a pseudo-dual problem that runs forward in time. We also describe a forward-in-time adaptive algorithm that works for some specific problems. Although it is not possible to define a general dual problem running forwards in time that provides information about future states, we provide numerical evidence via one-dimensional problems in space to illustrate the efficiency of our algorithm as well as its limitations. Finally, we propose a hybrid algorithm that employs the classical backward-in-time dual problem once and then performs the adaptive process forwards in time.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherInternational Journal for Numerical Methods in Engineeringen_US
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/777778en_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/1PE/MTM2016-76329-Ren_US
dc.relationES/1PE/MTM2016-81697-ERCen_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectlinear advection-diffusion equationen_US
dc.subjectgoal-oriented adaptivityen_US
dc.subjectpseudo-dual problemen_US
dc.subjecterror representationen_US
dc.subjectFinite Element Methoden_US
dc.titleForward-in-Time Goal-Oriented Adaptivityen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doi10.1002/nme.6059
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/pdf/10.1002/nme.6059en_US


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