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dc.contributor.authorMuñoz-Matute, J. 
dc.contributor.authorDemkowicz, Leszek
dc.contributor.authorPardo, D. 
dc.date.accessioned2022-02-04T13:05:08Z
dc.date.available2022-02-04T13:05:08Z
dc.date.issued2022-03-01
dc.identifier.issn00457825
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1422
dc.description.abstractIn this article, we introduce an error representation function to perform adaptivity in time of the recently developed time-marching Discontinuous Petrov–Galerkin (DPG) scheme. We first provide an analytical expression for the error that is the Riesz representation of the residual. Then, we approximate the error by enriching the test space in such a way that it contains the optimal test functions. The local error contributions can be efficiently computed by adding a few equations to the time-marching scheme. We analyze the quality of such approximation by constructing a Fortin operator and providing an a posteriori error estimate. The time-marching scheme proposed in this article provides an optimal solution along with a set of efficient and reliable local error contributions to perform adaptivity. We validate our method for both parabolic and hyperbolic problems.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectDPG methoden_US
dc.subjectError representationen_US
dc.subjectExponential integratorsen_US
dc.subjectFortin operatoren_US
dc.subjectOptimal test functionsen_US
dc.subjectUltraweak formulationen_US
dc.titleError representation of the time-marching DPG schemeen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.cma.2021.114480en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/777778en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/2PE/PID2019-108111RB-I00en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.relation.projectIDEUS/ELKARTEKen_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleComputer Methods in Applied Mechanics and Engineeringen_US
dc.volume.number391en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España