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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/18947
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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 Técnicas2025-09-29T10:27:51Zoai: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:34982025-09-29 10:27:52.199CONICET 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 |
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CONICET Digital (CONICET) |
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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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