Optimally refined isogeometric analysis

Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple $C^0$-continuity hyperplanes that act as separators during LU factorization...

Descripción completa

Detalles Bibliográficos
Autores: Garcia, D., Barton, M., Pardo, D.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/721
Acceso en línea:http://hdl.handle.net/20.500.11824/721
Access Level:acceso abierto
Palabra clave:solver-based discretization
continuity-aware optimal dissection
direct solvers
multi-frontal solvers
refined IsoGeometric Analysis (rIGA)
id ES_d8ea83a15841fd0ddc7d94bbc2d482ed
oai_identifier_str oai:bird.bcamath.org:20.500.11824/721
network_acronym_str ES
network_name_str España
repository_id_str
spelling Optimally refined isogeometric analysisGarcia, D.Barton, M.Pardo, D.solver-based discretizationcontinuity-aware optimal dissectiondirect solversmulti-frontal solversrefined IsoGeometric Analysis (rIGA)Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple $C^0$-continuity hyperplanes that act as separators during LU factorization \cite{rIGA1}. In here, we further explore this venue by introducing separators of arbitrary continuity. Moreover, we develop an efficient method to obtain optimal discretizations in the sense that they minimize the time employed by the direct solver of linear equations. The search space consists of all possible discretizations obtained by enriching a given IGA mesh. Thus, the best approximation error is always reduced with respect to its IGA counterpart, while the solution time is decreased by up to a factor of 60.ICERMAR Project KK-2015/0000097 Consolidated Research Group Grant IT649-13201720172017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/721reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttp://www.sciencedirect.com/science/article/pii/S1877050917309353info:eu-repo/grantAgreement/MINECO//SEV-2013-0323info:eu-repo/grantAgreement/MINECO//MTM2016-76329-Rinfo:eu-repo/grantAgreement/MINECO//MTM2016-81697-ERCinfo:eu-repo/grantAgreement/MINECO//MTM2013-40824-Pinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/7212026-06-19T12:47:47Z
dc.title.none.fl_str_mv Optimally refined isogeometric analysis
title Optimally refined isogeometric analysis
spellingShingle Optimally refined isogeometric analysis
Garcia, D.
solver-based discretization
continuity-aware optimal dissection
direct solvers
multi-frontal solvers
refined IsoGeometric Analysis (rIGA)
title_short Optimally refined isogeometric analysis
title_full Optimally refined isogeometric analysis
title_fullStr Optimally refined isogeometric analysis
title_full_unstemmed Optimally refined isogeometric analysis
title_sort Optimally refined isogeometric analysis
dc.creator.none.fl_str_mv Garcia, D.
Barton, M.
Pardo, D.
author Garcia, D.
author_facet Garcia, D.
Barton, M.
Pardo, D.
author_role author
author2 Barton, M.
Pardo, D.
author2_role author
author
dc.subject.none.fl_str_mv solver-based discretization
continuity-aware optimal dissection
direct solvers
multi-frontal solvers
refined IsoGeometric Analysis (rIGA)
topic solver-based discretization
continuity-aware optimal dissection
direct solvers
multi-frontal solvers
refined IsoGeometric Analysis (rIGA)
description Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple $C^0$-continuity hyperplanes that act as separators during LU factorization \cite{rIGA1}. In here, we further explore this venue by introducing separators of arbitrary continuity. Moreover, we develop an efficient method to obtain optimal discretizations in the sense that they minimize the time employed by the direct solver of linear equations. The search space consists of all possible discretizations obtained by enriching a given IGA mesh. Thus, the best approximation error is always reduced with respect to its IGA counterpart, while the solution time is decreased by up to a factor of 60.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017
2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/721
url http://hdl.handle.net/20.500.11824/721
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.sciencedirect.com/science/article/pii/S1877050917309353
info:eu-repo/grantAgreement/MINECO//SEV-2013-0323
info:eu-repo/grantAgreement/MINECO//MTM2016-76329-R
info:eu-repo/grantAgreement/MINECO//MTM2016-81697-ERC
info:eu-repo/grantAgreement/MINECO//MTM2013-40824-P
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869421243042627584
score 15.300724

Similares en LA Referencia