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...

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Autores principales: Armentano, M.G., Padra, C.
Formato: JOUR
Materias:
A posteriori error estimates
Finite elements
Steklov eigenvalue problem
Error analysis
Finite element method
Problem solving
Posteriori error estimates
Eigenvalues and eigenfunctions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01689274_v58_n5_p593_Armentano
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_01689274_v58_n5_p593_Armentano2023-10-03T15:06:48Z A posteriori error estimates for the Steklov eigenvalue problem Armentano, M.G. Padra, C. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, M.G.
Padra, C.
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.
format JOUR
author Armentano, M.G.
Padra, C.
author_facet Armentano, M.G.
Padra, C.
author_sort Armentano, M.G.
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
url http://hdl.handle.net/20.500.12110/paper_01689274_v58_n5_p593_Armentano
work_keys_str_mv AT armentanomg aposteriorierrorestimatesforthestekloveigenvalueproblem
AT padrac aposteriorierrorestimatesforthestekloveigenvalueproblem
AT armentanomg posteriorierrorestimatesforthestekloveigenvalueproblem
AT padrac posteriorierrorestimatesforthestekloveigenvalueproblem
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