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dc.contributor.authorSepúlveda, P.
dc.contributor.authorGopalakrishnan, J.
dc.date.accessioned2019-03-26T06:40:08Z
dc.date.available2019-03-26T06:40:08Z
dc.date.issued2019
dc.identifier.urihttp://hdl.handle.net/20.500.11824/954
dc.description.abstractA space-time discontinuous Petrov–Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken graph space. The well-posedness of this formulation is established using a previously presented abstract framework. One of the main tasks in the verification of the conditions of this framework is proving a density result. This is done in detail for a simple domain in arbitrary dimensions. The DPG method based on the weak formulation is then studied theoretically and numerically. Error estimates and numerical results are presented for triangular, rectangular, tetrahedral, and hexahedral meshes of the space-time domain. The potential for using the built-in error estimator of the DPG method for an adaptive mesh refinement strategy in two and three dimensions is also presenteden_US
dc.description.sponsorshipThis work was partly supported by AFOSR grant FA9550–17–1–0090. Numerical studies were partially facilitated by the Portland Institute of Sciences (PICS) established under NSF grant DMS–1624776.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.subjecttime-dependenten_US
dc.subjectwave equationen_US
dc.subjecthyperbolicen_US
dc.subjectdiscontinuous Petrov-Galerkinen_US
dc.subjectfinite element methoden_US
dc.titleA space-time DPG method for the wave equation in multiple dimensionsen_US
dc.typeinfo:eu-repo/semantics/bookParten_US
dc.identifier.doi10.1515/9783110548488-4
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.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleRICAM book seriesen_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