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dc.contributor.author
Collier, N.
dc.contributor.author
Dalcin, Lisandro Daniel
dc.contributor.author
Calo, V.M.
dc.date.available
2019-06-21T00:59:38Z
dc.date.issued
2014-11
dc.identifier.citation
Collier, N.; Dalcin, Lisandro Daniel; Calo, V.M.; On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers; John Wiley & Sons Ltd; International Journal for Numerical Methods in Engineering; 100; 8; 11-2014; 620-632
dc.identifier.issn
0029-5981
dc.identifier.uri
http://hdl.handle.net/11336/78604
dc.description.abstract
SUMMARY: We compare the computational efficiency of isogeometric Galerkin and collocation methods for partial differential equations in the asymptotic regime. We define a metric to identify when numerical experiments have reached this regime. We then apply these ideas to analyze the performance of different isogeometric discretizations, which encompass C0 finite element spaces and higher-continuous spaces. We derive convergence and cost estimates in terms of the total number of degrees of freedom and then perform an asymptotic numerical comparison of the efficiency of these methods applied to an elliptic problem. These estimates are derived assuming that the underlying solution is smooth, the full Gauss quadrature is used in each non-zero knot span and the numerical solution of the discrete system is found using a direct multi-frontal solver. We conclude that under the assumptions detailed in this paper, higher-continuous basis functions provide marginal benefits.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
John Wiley & Sons Ltd
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Asymptotic Analysis
dc.subject
Collocation
dc.subject
Computational Efficiency
dc.subject
Finite Elements
dc.subject
Isogeometric
dc.title
On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-06-19T16:52:37Z
dc.journal.volume
100
dc.journal.number
8
dc.journal.pagination
620-632
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Collier, N.. King Abdullah University Of Science And Technology; Arabia Saudita
dc.description.fil
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
dc.description.fil
Fil: Calo, V.M.. King Abdullah University Of Science And Technology; Arabia Saudita
dc.journal.title
International Journal for Numerical Methods in Engineering
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/nme.4769
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