The minimal angle condition for quadrilateral finite elements of arbitrary degree

Autores
Acosta Rodriguez, Gabriel; Monzón, Gabriel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.
Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Monzón, Gabriel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Materia
ANISOTROPIC FINITE ELEMENTS
LAGRANGE INTERPOLATION
MAXIMUM ANGLE CONDITION
MINIMUM ANGLE CONDITION
QUADRILATERAL ELEMENTS
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:11336/55567
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/55567
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The minimal angle condition for quadrilateral finite elements of arbitrary degreeAcosta Rodriguez, GabrielMonzón, GabrielANISOTROPIC FINITE ELEMENTSLAGRANGE INTERPOLATIONMAXIMUM ANGLE CONDITIONMINIMUM ANGLE CONDITIONQUADRILATERAL ELEMENTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaFil: Monzón, Gabriel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaElsevier Science2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/55567Acosta Rodriguez, Gabriel; Monzón, Gabriel; The minimal angle condition for quadrilateral finite elements of arbitrary degree; Elsevier Science; Journal Of Computational And Applied Mathematics; 317; 6-2017; 218-2340377-0427CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377042716305830info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2016.11.041info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:42:18Zoai:ri.conicet.gov.ar:11336/55567instacron: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 09:42:19.028CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The minimal angle condition for quadrilateral finite elements of arbitrary degree
title The minimal angle condition for quadrilateral finite elements of arbitrary degree
spellingShingle The minimal angle condition for quadrilateral finite elements of arbitrary degree
Acosta Rodriguez, Gabriel
ANISOTROPIC FINITE ELEMENTS
LAGRANGE INTERPOLATION
MAXIMUM ANGLE CONDITION
MINIMUM ANGLE CONDITION
QUADRILATERAL ELEMENTS
title_short The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_full The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_fullStr The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_full_unstemmed The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_sort The minimal angle condition for quadrilateral finite elements of arbitrary degree
dc.creator.none.fl_str_mv Acosta Rodriguez, Gabriel
Monzón, Gabriel
author Acosta Rodriguez, Gabriel
author_facet Acosta Rodriguez, Gabriel
Monzón, Gabriel
author_role author
author2 Monzón, Gabriel
author2_role author
dc.subject.none.fl_str_mv ANISOTROPIC FINITE ELEMENTS
LAGRANGE INTERPOLATION
MAXIMUM ANGLE CONDITION
MINIMUM ANGLE CONDITION
QUADRILATERAL ELEMENTS
topic ANISOTROPIC FINITE ELEMENTS
LAGRANGE INTERPOLATION
MAXIMUM ANGLE CONDITION
MINIMUM ANGLE CONDITION
QUADRILATERAL ELEMENTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.
Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Monzón, Gabriel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
description We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/55567
Acosta Rodriguez, Gabriel; Monzón, Gabriel; The minimal angle condition for quadrilateral finite elements of arbitrary degree; Elsevier Science; Journal Of Computational And Applied Mathematics; 317; 6-2017; 218-234
0377-0427
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55567
identifier_str_mv Acosta Rodriguez, Gabriel; Monzón, Gabriel; The minimal angle condition for quadrilateral finite elements of arbitrary degree; Elsevier Science; Journal Of Computational And Applied Mathematics; 317; 6-2017; 218-234
0377-0427
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377042716305830
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2016.11.041
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_ 1844613333156626432
score 13.070432

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