Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

Autores
Garau, Eduardo Mario; Vázquez, Rafael
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously existing methods, can be understood as the inverse of each other. We also define simple and intuitive data structures for the implementation of hierarchical B-splines, and algorithms for refinement and coarsening that take advantage of local information. We complete the paper with some simple numerical tests to show the performance of the data structures and algorithms, that have been implemented in the open-source Octave/Matlab code GeoPDEs.
Fil: Garau, Eduardo Mario. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
Fil: Vázquez, Rafael. École Polytechnique Fédérale de Lausanne; Suiza. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia
Materia
ISOGEOMETRIC ANALYSIS
ADAPTIVE METHODS
HIERARCHICAL SPLINES
LOCAL REFINEMENT
COARSENING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/89155
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/89155
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splinesGarau, Eduardo MarioVázquez, RafaelISOGEOMETRIC ANALYSISADAPTIVE METHODSHIERARCHICAL SPLINESLOCAL REFINEMENTCOARSENINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously existing methods, can be understood as the inverse of each other. We also define simple and intuitive data structures for the implementation of hierarchical B-splines, and algorithms for refinement and coarsening that take advantage of local information. We complete the paper with some simple numerical tests to show the performance of the data structures and algorithms, that have been implemented in the open-source Octave/Matlab code GeoPDEs.Fil: Garau, Eduardo Mario. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; ArgentinaFil: Vázquez, Rafael. École Polytechnique Fédérale de Lausanne; Suiza. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; ItaliaElsevier Science2018-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89155Garau, Eduardo Mario; Vázquez, Rafael; Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines; Elsevier Science; Applied Numerical Mathematics; 123; 1-2018; 58-870168-9274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://linkinghub.elsevier.com/retrieve/pii/S0168927417301794info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apnum.2017.08.006info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:47:19Zoai:ri.conicet.gov.ar:11336/89155instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:47:19.795CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
title Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
spellingShingle Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
Garau, Eduardo Mario
ISOGEOMETRIC ANALYSIS
ADAPTIVE METHODS
HIERARCHICAL SPLINES
LOCAL REFINEMENT
COARSENING
title_short Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
title_full Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
title_fullStr Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
title_full_unstemmed Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
title_sort Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
dc.creator.none.fl_str_mv Garau, Eduardo Mario
Vázquez, Rafael
author Garau, Eduardo Mario
author_facet Garau, Eduardo Mario
Vázquez, Rafael
author_role author
author2 Vázquez, Rafael
author2_role author
dc.subject.none.fl_str_mv ISOGEOMETRIC ANALYSIS
ADAPTIVE METHODS
HIERARCHICAL SPLINES
LOCAL REFINEMENT
COARSENING
topic ISOGEOMETRIC ANALYSIS
ADAPTIVE METHODS
HIERARCHICAL SPLINES
LOCAL REFINEMENT
COARSENING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously existing methods, can be understood as the inverse of each other. We also define simple and intuitive data structures for the implementation of hierarchical B-splines, and algorithms for refinement and coarsening that take advantage of local information. We complete the paper with some simple numerical tests to show the performance of the data structures and algorithms, that have been implemented in the open-source Octave/Matlab code GeoPDEs.
Fil: Garau, Eduardo Mario. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina
Fil: Vázquez, Rafael. École Polytechnique Fédérale de Lausanne; Suiza. Consiglio Nazionale delle Ricerche. Istituto di Matematica Applicata e Tecnologie Informatiche; Italia
description In this article we introduce all the ingredients to develop adaptive isogeometric methods based on hierarchical B-splines. In particular, we give precise definitions of local refinement and coarsening that, unlike previously existing methods, can be understood as the inverse of each other. We also define simple and intuitive data structures for the implementation of hierarchical B-splines, and algorithms for refinement and coarsening that take advantage of local information. We complete the paper with some simple numerical tests to show the performance of the data structures and algorithms, that have been implemented in the open-source Octave/Matlab code GeoPDEs.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/89155
Garau, Eduardo Mario; Vázquez, Rafael; Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines; Elsevier Science; Applied Numerical Mathematics; 123; 1-2018; 58-87
0168-9274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89155
identifier_str_mv Garau, Eduardo Mario; Vázquez, Rafael; Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines; Elsevier Science; Applied Numerical Mathematics; 123; 1-2018; 58-87
0168-9274
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://linkinghub.elsevier.com/retrieve/pii/S0168927417301794
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apnum.2017.08.006
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613474656714752
score 13.070432

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