Asymptotic lower bounds for eigenvalues by nonconforming finite element methods

We analyze the approximation obtained for the eigenvalues of the Laplace operator by the nonconforming piecewise linear finite element of Crouzeix-Raviart. For singular eigenfunctions, as those arising in nonconvex polygons, we prove that the eigenvalues obtained with this method give lower bounds o...

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Detalles Bibliográficos
Autores principales:	Armentano, M.G., Durán, R.G.
Formato:	JOUR
Materias:	Eigenvalue problems Finite elements Nonconforming methods
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10689613_v17_n_p93_Armentano
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_10689613_v17_n_p93_Armentano
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spelling	todo:paper_10689613_v17_n_p93_Armentano2023-10-03T16:02:13Z Asymptotic lower bounds for eigenvalues by nonconforming finite element methods Armentano, M.G. Durán, R.G. Eigenvalue problems Finite elements Nonconforming methods We analyze the approximation obtained for the eigenvalues of the Laplace operator by the nonconforming piecewise linear finite element of Crouzeix-Raviart. For singular eigenfunctions, as those arising in nonconvex polygons, we prove that the eigenvalues obtained with this method give lower bounds of the exact eigenvalues when the mesh size is small enough. Fil:Armentano, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Durán, R.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_10689613_v17_n_p93_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	Eigenvalue problems Finite elements Nonconforming methods
spellingShingle	Eigenvalue problems Finite elements Nonconforming methods Armentano, M.G. Durán, R.G. Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
topic_facet	Eigenvalue problems Finite elements Nonconforming methods
description	We analyze the approximation obtained for the eigenvalues of the Laplace operator by the nonconforming piecewise linear finite element of Crouzeix-Raviart. For singular eigenfunctions, as those arising in nonconvex polygons, we prove that the eigenvalues obtained with this method give lower bounds of the exact eigenvalues when the mesh size is small enough.
format	JOUR
author	Armentano, M.G. Durán, R.G.
author_facet	Armentano, M.G. Durán, R.G.
author_sort	Armentano, M.G.
title	Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
title_short	Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
title_full	Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
title_fullStr	Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
title_full_unstemmed	Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
title_sort	asymptotic lower bounds for eigenvalues by nonconforming finite element methods
url	http://hdl.handle.net/20.500.12110/paper_10689613_v17_n_p93_Armentano
work_keys_str_mv	AT armentanomg asymptoticlowerboundsforeigenvaluesbynonconformingfiniteelementmethods AT duranrg asymptoticlowerboundsforeigenvaluesbynonconformingfiniteelementmethods
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Asymptotic lower bounds for eigenvalues by nonconforming finite element methods

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