The effect of reduced integration in the Steklov eigenvalue problem

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In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular ei...

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Autor principal: Armentano, M.G.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2004
Materias:
Finite elements
Reduced integration
Steklov eigenvalue problem
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0764583X_v38_n1_p27_Armentano
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_0764583X_v38_n1_p27_Armentano2023-06-12T16:48:16Z The effect of reduced integration in the Steklov eigenvalue problem Math. Model. Numer. Anal. 2004;38(1):27-36 Armentano, M.G. Finite elements Reduced integration Steklov eigenvalue problem In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions. the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough. Fil:Armentano, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0764583X_v38_n1_p27_Armentano
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Finite elements
Reduced integration
Steklov eigenvalue problem
spellingShingle Finite elements
Reduced integration
Steklov eigenvalue problem
Armentano, M.G.
The effect of reduced integration in the Steklov eigenvalue problem
topic_facet Finite elements
Reduced integration
Steklov eigenvalue problem
description In this paper we analyze the effect of introducing a numerical integration in the piecewise linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal order error estimates for the eigenfunctions when this numerical integration is used and we prove that, for singular eigenfunctions. the eigenvalues obtained using this reduced integration are better approximations than those obtained using exact integration when the mesh size is small enough.
format Artículo
Artículo
publishedVersion
author Armentano, M.G.
author_facet Armentano, M.G.
author_sort Armentano, M.G.
title The effect of reduced integration in the Steklov eigenvalue problem
title_short The effect of reduced integration in the Steklov eigenvalue problem
title_full The effect of reduced integration in the Steklov eigenvalue problem
title_fullStr The effect of reduced integration in the Steklov eigenvalue problem
title_full_unstemmed The effect of reduced integration in the Steklov eigenvalue problem
title_sort effect of reduced integration in the steklov eigenvalue problem
publishDate 2004
url http://hdl.handle.net/20.500.12110/paper_0764583X_v38_n1_p27_Armentano
work_keys_str_mv AT armentanomg theeffectofreducedintegrationinthestekloveigenvalueproblem
AT armentanomg effectofreducedintegrationinthestekloveigenvalueproblem
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