A posteriori error estimates for the Steklov eigenvalue problem
In this paper we introduce and analyze an a posteriori error estimator for the linear finite element approximations of the Steklov eigenvalue problem. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order...
| Autores principales: | , |
|---|---|
| Publicado: |
2008
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v58_n5_p593_Armentano http://hdl.handle.net/20.500.12110/paper_01689274_v58_n5_p593_Armentano |
| Aporte de: |
| id |
paper:paper_01689274_v58_n5_p593_Armentano |
|---|---|
| record_format |
dspace |
| spelling |
paper:paper_01689274_v58_n5_p593_Armentano2023-06-08T15:18:06Z A posteriori error estimates for the Steklov eigenvalue problem Armentano, Maria Gabriela Padra, Claudio A posteriori error estimates Finite elements Steklov eigenvalue problem Error analysis Finite element method Problem solving Posteriori error estimates Steklov eigenvalue problem Eigenvalues and eigenfunctions In this paper we introduce and analyze an a posteriori error estimator for the linear finite element approximations of the Steklov eigenvalue problem. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order terms, the estimator is equivalent to the energy norm of the error. Finally, we prove that the volumetric part of the residual term is dominated by a constant times the edge residuals, again up to higher order terms. © 2007 IMACS. Fil:Armentano, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Padra, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v58_n5_p593_Armentano http://hdl.handle.net/20.500.12110/paper_01689274_v58_n5_p593_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 Finite elements Steklov eigenvalue problem Error analysis Finite element method Problem solving Posteriori error estimates Steklov eigenvalue problem Eigenvalues and eigenfunctions |
| spellingShingle |
A posteriori error estimates Finite elements Steklov eigenvalue problem Error analysis Finite element method Problem solving Posteriori error estimates Steklov eigenvalue problem Eigenvalues and eigenfunctions Armentano, Maria Gabriela Padra, Claudio A posteriori error estimates for the Steklov eigenvalue problem |
| topic_facet |
A posteriori error estimates Finite elements Steklov eigenvalue problem Error analysis Finite element method Problem solving Posteriori error estimates Steklov eigenvalue problem Eigenvalues and eigenfunctions |
| description |
In this paper we introduce and analyze an a posteriori error estimator for the linear finite element approximations of the Steklov eigenvalue problem. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, up to higher order terms, the estimator is equivalent to the energy norm of the error. Finally, we prove that the volumetric part of the residual term is dominated by a constant times the edge residuals, again up to higher order terms. © 2007 IMACS. |
| author |
Armentano, Maria Gabriela Padra, Claudio |
| author_facet |
Armentano, Maria Gabriela Padra, Claudio |
| author_sort |
Armentano, Maria Gabriela |
| title |
A posteriori error estimates for the Steklov eigenvalue problem |
| title_short |
A posteriori error estimates for the Steklov eigenvalue problem |
| title_full |
A posteriori error estimates for the Steklov eigenvalue problem |
| title_fullStr |
A posteriori error estimates for the Steklov eigenvalue problem |
| title_full_unstemmed |
A posteriori error estimates for the Steklov eigenvalue problem |
| title_sort |
posteriori error estimates for the steklov eigenvalue problem |
| publishDate |
2008 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01689274_v58_n5_p593_Armentano http://hdl.handle.net/20.500.12110/paper_01689274_v58_n5_p593_Armentano |
| work_keys_str_mv |
AT armentanomariagabriela aposteriorierrorestimatesforthestekloveigenvalueproblem AT padraclaudio aposteriorierrorestimatesforthestekloveigenvalueproblem AT armentanomariagabriela posteriorierrorestimatesforthestekloveigenvalueproblem AT padraclaudio posteriorierrorestimatesforthestekloveigenvalueproblem |
| _version_ |
1768544473192595456 |