A new least-squares approximation of affine mappings for sweep algorithms

The final publication is available at Springer via http://dx.doi.org/10.1007/s00366-009-0161-2

Detalles Bibliográficos
Autores: Roca Navarro, Francisco Javier, Sarrate Ramos, Josep|||0000-0003-0182-934X, Huerta, Antonio|||0000-0003-4198-3798
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/79451
Acceso en línea:https://hdl.handle.net/2117/79451
https://dx.doi.org/10.1007/s00366-009-0161-2
Access Level:acceso abierto
Palabra clave:Finite element method--Mathematical models
Least squares
Finite element method
Mesh generation
Hexahedral elements
Sweep
Node projection
Affine mapping
Mínims quadrats
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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repository_id_str
spelling A new least-squares approximation of affine mappings for sweep algorithmsRoca Navarro, Francisco JavierSarrate Ramos, Josep|||0000-0003-0182-934XHuerta, Antonio|||0000-0003-4198-3798Finite element method--Mathematical modelsLeast squaresFinite element methodMesh generationHexahedral elementsSweepNode projectionAffine mappingMínims quadratsElements finits, Mètode delsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsThe final publication is available at Springer via http://dx.doi.org/10.1007/s00366-009-0161-2This paper presents a new algorithm to generate hexahedral meshes in extrusion geometries. Several algorithms have been devised to generate hexahedral meshes by projecting the cap surfaces along a sweep path. In all of these algorithms the crucial step is the placement of the inner layer of nodes. That is, the projection of the source surface mesh along the sweep path. From the computational point of view, sweep methods based on a least-squares approximation of an affine mapping are the fastest alternative to compute these projections. Several functionals have been introduced to perform the least-squares approximation. However, for very simple and typical geometrical configurations they may generate low-quality projected meshes. For instance, they may induce skewness and flattening effects on the projected discretizations. In addition, for these configurations the minimization of these functionals may lead to a set of normal equations with singular system matrix. In this work we analyze previously defined functionals. Based on this analysis we propose a new functional and show that its minimization overcomes these drawbacks. Finally, we present several examples to assess the properties of the proposed functional.Peer Reviewed20102010-06-0120152015-11-18journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/79451https://dx.doi.org/10.1007/s00366-009-0161-2reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/794512026-05-27T15:37:01Z
dc.title.none.fl_str_mv A new least-squares approximation of affine mappings for sweep algorithms
title A new least-squares approximation of affine mappings for sweep algorithms
spellingShingle A new least-squares approximation of affine mappings for sweep algorithms
Roca Navarro, Francisco Javier
Finite element method--Mathematical models
Least squares
Finite element method
Mesh generation
Hexahedral elements
Sweep
Node projection
Affine mapping
Mínims quadrats
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short A new least-squares approximation of affine mappings for sweep algorithms
title_full A new least-squares approximation of affine mappings for sweep algorithms
title_fullStr A new least-squares approximation of affine mappings for sweep algorithms
title_full_unstemmed A new least-squares approximation of affine mappings for sweep algorithms
title_sort A new least-squares approximation of affine mappings for sweep algorithms
dc.creator.none.fl_str_mv Roca Navarro, Francisco Javier
Sarrate Ramos, Josep|||0000-0003-0182-934X
Huerta, Antonio|||0000-0003-4198-3798
author Roca Navarro, Francisco Javier
author_facet Roca Navarro, Francisco Javier
Sarrate Ramos, Josep|||0000-0003-0182-934X
Huerta, Antonio|||0000-0003-4198-3798
author_role author
author2 Sarrate Ramos, Josep|||0000-0003-0182-934X
Huerta, Antonio|||0000-0003-4198-3798
author2_role author
author
dc.subject.none.fl_str_mv Finite element method--Mathematical models
Least squares
Finite element method
Mesh generation
Hexahedral elements
Sweep
Node projection
Affine mapping
Mínims quadrats
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Finite element method--Mathematical models
Least squares
Finite element method
Mesh generation
Hexahedral elements
Sweep
Node projection
Affine mapping
Mínims quadrats
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description The final publication is available at Springer via http://dx.doi.org/10.1007/s00366-009-0161-2
publishDate 2010
dc.date.none.fl_str_mv 2010
2010-06-01
2015
2015-11-18
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/79451
https://dx.doi.org/10.1007/s00366-009-0161-2
url https://hdl.handle.net/2117/79451
https://dx.doi.org/10.1007/s00366-009-0161-2
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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