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dc.contributor.authorCollier, Nathan
dc.contributor.authorPardo, David
dc.contributor.authorDalcín, Lisandro D.
dc.contributor.authorPaszyński, Maciej R.
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-08-03T09:45:00Z
dc.date.available2015-08-03T09:45:00Z
dc.date.issued2012-03
dc.identifier.issn00457825
dc.identifier.doi10.1016/j.cma.2011.11.002
dc.identifier.urihttp://hdl.handle.net/10754/562109
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. © 2011 Elsevier B.V.
dc.description.sponsorshipWe would like to thank the anonymous reviewers for their feedback which significantly improved the quality of the paper. The second author was partially funded by the Project of the Spanish Ministry of Sciences and Innovation MTM2010-16511. The work of the third author has been partially supported by ANPCyT Argentina Grant PICT-1141/2007. The work of the fourth author was partially supported by Polish Ministry of Science and Higher Education Grant No. NN 519 447739.
dc.publisherElsevier BV
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.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
dc.contributor.institutionDepartment of Applied Mathematics, Statistics and Operational Research, The University of the Basque Country and Ikerbasque, Bilbao, Spain
dc.contributor.institutionAGH University of Science and Technology, Krakow, Poland
dc.contributor.institutionConsejo Nacional de Investigaciones Científicas y Técnicas, Santa Fe, Argentina
kaust.personCollier, Nathan
kaust.personCalo, Victor M.


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