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:	JOUR
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

id	todo:paper_0764583X_v38_n1_p27_Armentano
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spelling	todo:paper_0764583X_v38_n1_p27_Armentano2023-10-03T15:39:40Z The effect of reduced integration in the Steklov eigenvalue problem 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. JOUR 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)
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	JOUR
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
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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The effect of reduced integration in the Steklov eigenvalue problem

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