Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
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 dimensio...
| Publicado: |
2016
|
|---|---|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v109_n_p184_Armentano http://hdl.handle.net/20.500.12110/paper_01689274_v109_n_p184_Armentano |
| Aporte de: |
| id |
paper:paper_01689274_v109_n_p184_Armentano |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_01689274_v109_n_p184_Armentano2023-06-08T15:18:03Z Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method A posteriori error estimates Jacobi-weighted Sobolev spaces p Finite element methods Error analysis Errors Estimation Interpolation Sobolev spaces A-posteriori error estimates A-posteriori error estimations ITS applications Mathematical frameworks Optimal ordering P-version of the finite-element method Posteriori error indicator Weighted Sobolev spaces Finite element method 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. © 2016 IMACS 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v109_n_p184_Armentano http://hdl.handle.net/20.500.12110/paper_01689274_v109_n_p184_Armentano |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
A posteriori error estimates Jacobi-weighted Sobolev spaces p Finite element methods Error analysis Errors Estimation Interpolation Sobolev spaces A-posteriori error estimates A-posteriori error estimations ITS applications Mathematical frameworks Optimal ordering P-version of the finite-element method Posteriori error indicator Weighted Sobolev spaces Finite element method |
| spellingShingle |
A posteriori error estimates Jacobi-weighted Sobolev spaces p Finite element methods Error analysis Errors Estimation Interpolation Sobolev spaces A-posteriori error estimates A-posteriori error estimations ITS applications Mathematical frameworks Optimal ordering P-version of the finite-element method Posteriori error indicator Weighted Sobolev spaces Finite element method Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method |
| topic_facet |
A posteriori error estimates Jacobi-weighted Sobolev spaces p Finite element methods Error analysis Errors Estimation Interpolation Sobolev spaces A-posteriori error estimates A-posteriori error estimations ITS applications Mathematical frameworks Optimal ordering P-version of the finite-element method Posteriori error indicator Weighted Sobolev spaces Finite element method |
| 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. © 2016 IMACS |
| title |
Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method |
| 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 |
| publishDate |
2016 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v109_n_p184_Armentano http://hdl.handle.net/20.500.12110/paper_01689274_v109_n_p184_Armentano |
| _version_ |
1768541702369312768 |