The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers

dc.creatorCollier, Nathan
dc.creatorPardo, David
dc.creatorDalcin, Lisandro Daniel
dc.creatorPaszynski, Maciej
dc.creatorCalo, V.M.
dc.date.accessioned2019-05-15T18:40:52Z
dc.date.accessioned2022-10-15T05:43:18Z
dc.date.available2019-05-15T18:40:52Z
dc.date.available2022-10-15T05:43:18Z
dc.date.created2019-05-15T18:40:52Z
dc.date.issued2012-03
dc.identifierCollier, Nathan; Pardo, David; Dalcin, Lisandro Daniel; Paszynski, Maciej; Calo, V.M.; The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 213-216; 3-2012; 353-361
dc.identifier0045-7825
dc.identifierhttp://hdl.handle.net/11336/76419
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4351132
dc.description.abstractWe study the performance of direct solvers on linear systems of equations resulting from isogeometric analysis. The problem of choice is the canonical Laplace equation in three dimensions. From this study we conclude that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver. This paper presents numerical results detailing the phenomenon as well as a theoretical analysis that explains the underlying cause.
dc.languageeng
dc.publisherElsevier Science Sa
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2011.11.002
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectDIRECT SOLVERS
dc.subjectISOGEOMETRIC ANALYSIS
dc.subjectK-REFINEMENT
dc.subjectMULTI-FRONTAL SOLVERS
dc.subjectPERFORMANCE
dc.titleThe cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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