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dc.contributor.authorMuñoz-Matute, J. 
dc.contributor.authorPardo, D. 
dc.contributor.authorDemkowicz, L.
dc.date.accessioned2021-01-07T15:47:54Z
dc.date.available2021-01-07T15:47:54Z
dc.date.issued2020-11
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1232
dc.description.abstractThe Discontinuous Petrov-Galerkin (DPG) method is a widely employed discretization method for Partial Di fferential Equations (PDEs). In a recent work, we applied the DPG method with optimal test functions for the time integration of transient parabolic PDEs. We showed that the resulting DPG-based time-marching scheme is equivalent to exponential integrators for the trace variables. In this work, we extend the aforementioned method to time-dependent hyperbolic PDEs. For that, we reduce the second order system in time to first order and we calculate the optimal testing analytically. We also relate our method with exponential integrators of Gautschi-type. Finally, we validate our method for 1D/2D + time linear wave equation after semidiscretization in space with a standard Bubnov-Galerkin method. The presented DPG-based time integrator provides expressions for the solution in the element interiors in addition to those on the traces. This allows to design di fferent error estimators to perform adaptivity.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.subjectUltraweak variational formulationen_US
dc.subjectOptimal test functionsen_US
dc.subjectExponential integratorsen_US
dc.subjectLinear hyperbolic problems,en_US
dc.subjectODE systemsen_US
dc.titleA DPG-based time-marching scheme for linear hyperbolic problemsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.cma.2020.113539
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0045782520307246en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/777778en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2016-76329-Ren_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/submittedVersionen_US
dc.journal.titleComputer Methods in Applied Mechanics and Engineeringen_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