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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/18947
Ver los metadatos del registro completo
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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 Técnicas2025-10-22T12:00:16Zoai: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 |
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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 |
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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 |
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openAccess |
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https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
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Elsevier Science |
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Elsevier Science |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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