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

Handle URI:
http://hdl.handle.net/10754/562109
Title:
The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers
Authors:
Collier, Nathaniel Oren; Pardo, David; Dalcín, Lisandro D.; Paszyński, Maciej R.; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We 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.
KAUST Department:
Applied Mathematics and Computational Science Program; Biological and Environmental Sciences and Engineering (BESE) Division; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Numerical Porous Media SRI Center (NumPor)
Publisher:
Elsevier
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
Mar-2012
DOI:
10.1016/j.cma.2011.11.002
Type:
Article
ISSN:
00457825
Sponsors:
We 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.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Biological and Environmental Sciences and Engineering (BESE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorCollier, Nathaniel Orenen
dc.contributor.authorPardo, Daviden
dc.contributor.authorDalcín, Lisandro D.en
dc.contributor.authorPaszyński, Maciej R.en
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-08-03T09:45:00Zen
dc.date.available2015-08-03T09:45:00Zen
dc.date.issued2012-03en
dc.identifier.issn00457825en
dc.identifier.doi10.1016/j.cma.2011.11.002en
dc.identifier.urihttp://hdl.handle.net/10754/562109en
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.en
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.en
dc.publisherElsevieren
dc.subjectDirect solversen
dc.subjectIsogeometric analysisen
dc.subjectK-Refinementen
dc.subjectMulti-frontal solversen
dc.subjectPerformanceen
dc.titleThe cost of continuity: A study of the performance of isogeometric finite elements using direct solversen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.contributor.institutionDepartment of Applied Mathematics, Statistics and Operational Research, The University of the Basque Country and Ikerbasque, Bilbao, Spainen
dc.contributor.institutionAGH University of Science and Technology, Krakow, Polanden
dc.contributor.institutionConsejo Nacional de Investigaciones Científicas y Técnicas, Santa Fe, Argentinaen
kaust.authorCollier, Nathaniel Orenen
kaust.authorCalo, Victor M.en
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