Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method

Autores
Armentano, Maria Gabriela; Moreno, Verónica
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The goal of this work is to introduce a local and a global interpolator in Jacobi-weighted spaces, with optimal order of approximation in the context of the p-version of finite element methods. Then, an a posteriori error indicator of the residual type is proposed for a model problem in two dimensions and, in the mathematical framework of the Jacobi-weighted spaces, the equivalence between the estimator and the error is obtained on appropriate weighted norm.
Fil: Armentano, Maria Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Moreno, Verónica. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
Jacobi-Weighted Sobolev Spaces
A Posteriori Error Estimates
P Finite Element Methods
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/18947
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element methodArmentano, Maria GabrielaMoreno, VerónicaJacobi-Weighted Sobolev SpacesA Posteriori Error EstimatesP Finite Element Methodshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The goal of this work is to introduce a local and a global interpolator in Jacobi-weighted spaces, with optimal order of approximation in the context of the p-version of finite element methods. Then, an a posteriori error indicator of the residual type is proposed for a model problem in two dimensions and, in the mathematical framework of the Jacobi-weighted spaces, the equivalence between the estimator and the error is obtained on appropriate weighted norm.Fil: Armentano, Maria Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Moreno, Verónica. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaElsevier Science2016-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18947Armentano, Maria Gabriela; Moreno, Verónica; Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method; Elsevier Science; Applied Numerical Mathematics; 109; 11-2016; 184-2070168-9274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.apnum.2016.06.009info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0168927416301039info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1502.03776info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:00:16Zoai:ri.conicet.gov.ar:11336/18947instacron: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:34982025-10-22 12:00:17.026CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
title Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
spellingShingle Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
Armentano, Maria Gabriela
Jacobi-Weighted Sobolev Spaces
A Posteriori Error Estimates
P Finite Element Methods
title_short Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
title_full Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
title_fullStr Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
title_full_unstemmed Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
title_sort Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
dc.creator.none.fl_str_mv Armentano, Maria Gabriela
Moreno, Verónica
author Armentano, Maria Gabriela
author_facet Armentano, Maria Gabriela
Moreno, Verónica
author_role author
author2 Moreno, Verónica
author2_role author
dc.subject.none.fl_str_mv Jacobi-Weighted Sobolev Spaces
A Posteriori Error Estimates
P Finite Element Methods
topic Jacobi-Weighted Sobolev Spaces
A Posteriori Error Estimates
P Finite Element Methods
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The goal of this work is to introduce a local and a global interpolator in Jacobi-weighted spaces, with optimal order of approximation in the context of the p-version of finite element methods. Then, an a posteriori error indicator of the residual type is proposed for a model problem in two dimensions and, in the mathematical framework of the Jacobi-weighted spaces, the equivalence between the estimator and the error is obtained on appropriate weighted norm.
Fil: Armentano, Maria Gabriela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Moreno, Verónica. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description The goal of this work is to introduce a local and a global interpolator in Jacobi-weighted spaces, with optimal order of approximation in the context of the p-version of finite element methods. Then, an a posteriori error indicator of the residual type is proposed for a model problem in two dimensions and, in the mathematical framework of the Jacobi-weighted spaces, the equivalence between the estimator and the error is obtained on appropriate weighted norm.
publishDate 2016
dc.date.none.fl_str_mv 2016-11
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/11336/18947
Armentano, Maria Gabriela; Moreno, Verónica; Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method; Elsevier Science; Applied Numerical Mathematics; 109; 11-2016; 184-207
0168-9274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/18947
identifier_str_mv Armentano, Maria Gabriela; Moreno, Verónica; Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method; Elsevier Science; Applied Numerical Mathematics; 109; 11-2016; 184-207
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/doi/10.1016/j.apnum.2016.06.009
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0168927416301039
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1502.03776
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
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
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score 12.982451

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