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dc.contributor.authorSiwik, L.
dc.contributor.authorWozniak, M.
dc.contributor.authorTrujillo, V.
dc.contributor.authorPardo, D. 
dc.contributor.authorCalo, V.M.
dc.contributor.authorPaszynski, M.
dc.date.accessioned2019-03-27T14:05:23Z
dc.date.available2019-03-27T14:05:23Z
dc.date.issued2018-11
dc.identifier.issn1045-9219
dc.identifier.urihttp://hdl.handle.net/20.500.11824/958
dc.description.abstractWe study three-dimensional isogeometric analysis (IGA) and the solution of the resulting system of linear equations via a direct solver. IGA uses highly continuous $C^{p-1}$ basis functions, which provide multiple benefits in terms of stability and convergence properties. However, smooth basis significantly deteriorate the direct solver performance and its parallel scalability. As a partial remedy for this, refined Isogeometric Analysis (rIGA) method improves the sequential execution of direct solvers. The refinement strategy enriches traditional highly-continuous $C^{p-1}$ IGA spaces by introducing low-continuity $C^{0}$ 0-hyperplanes along the boundaries of certain pre-defined macro-elements. In this work, propose a solution strategy for rIGA for parallel distributed memory machines and compare the computational costs of solving rIGA vs IGA discretizations. We verify our estimates with parallel numerical experiments. Results show that the weak parallel scalability of the direct solver improves approximately by a factor of $p^{2}$ when considering rIGA discretizations rather than highly-continuous IGA spaces.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.subjectisogeometric analysisen_US
dc.subjectdirect solversen_US
dc.subjectparallel computingen_US
dc.titleParallel refined Isogeometric Analysis in 3Den_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1109/TPDS.2018.2879664
dc.relation.publisherversionhttps://www.researchgate.net/publication/328450574_Parallel_refined_Isogeometric_Analysis_in_3Den_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.projectIDES/1PE/MTM2016-81697-ERCen_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleIEEE Transactions on Parallel and Distributed Systemsen_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