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dc.contributor.authorGarcia D.en_US
dc.contributor.authorBarton M.en_US
dc.contributor.authorPardo D.en_US
dc.date.accessioned2017-08-08T11:55:50Z
dc.date.available2017-08-08T11:55:50Z
dc.date.issued2017-06
dc.identifier.issn1877-0509
dc.identifier.urihttp://hdl.handle.net/20.500.11824/721
dc.description.abstractPerformance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple $C^0$-continuity hyperplanes that act as separators during LU factorization \cite{rIGA1}. In here, we further explore this venue by introducing separators of arbitrary continuity. Moreover, we develop an efficient method to obtain optimal discretizations in the sense that they minimize the time employed by the direct solver of linear equations. The search space consists of all possible discretizations obtained by enriching a given IGA mesh. Thus, the best approximation error is always reduced with respect to its IGA counterpart, while the solution time is decreased by up to a factor of 60.en_US
dc.description.sponsorshipICERMAR Project KK-2015/0000097 Consolidated Research Group Grant IT649-13en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherProcedia Computer Scienceen_US
dc.relationES/1PE/SEV-2013-0323en_US
dc.relationES/1PE/MTM2016-76329-Ren_US
dc.relationES/1PE/MTM2016-81697-ERCen_US
dc.relationES/1PE/MTM2013-40824-Pen_US
dc.relationEUS/BERC/BERC.2014-2017en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectsolver-based discretizationen_US
dc.subjectcontinuity-aware optimal dissectionen_US
dc.subjectdirect solversen_US
dc.subjectmulti-frontal solversen_US
dc.subjectrefined IsoGeometric Analysis (rIGA)en_US
dc.titleOptimally refined isogeometric analysisen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doidoi.org/10.1016/j.procs.2017.05.283
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1877050917309353en_US


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