Eigenvalue approximation by mixed non-conforming finite element methods

In this paper we give a theory for the approximation of eigenvalue problems in mixed form by non-conforming methods. We then apply this theory to analyze the problem of determining the vibrational modes of a linear elastic structure using the classical Hellinger-Reissner mixed formulation. We show t...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Dello Russo, Anahí
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2014
Materias:	Matemática Spectral analysis Eigenvalue problems in mixed form Non-conforming finite element methods Linear elasticity equations
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/146263
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-146263
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Matemática Spectral analysis Eigenvalue problems in mixed form Non-conforming finite element methods Linear elasticity equations
spellingShingle	Matemática Spectral analysis Eigenvalue problems in mixed form Non-conforming finite element methods Linear elasticity equations Dello Russo, Anahí Eigenvalue approximation by mixed non-conforming finite element methods
topic_facet	Matemática Spectral analysis Eigenvalue problems in mixed form Non-conforming finite element methods Linear elasticity equations
description	In this paper we give a theory for the approximation of eigenvalue problems in mixed form by non-conforming methods. We then apply this theory to analyze the problem of determining the vibrational modes of a linear elastic structure using the classical Hellinger-Reissner mixed formulation. We show that a numerical method based on the lowest-order Arnold-Winther non-conforming space provides a spectrally correct approximation of the eigenvalue/eigenvector pairs. Moreover, the method is proven to converge with optimal order.
format	Articulo Articulo
author	Dello Russo, Anahí
author_facet	Dello Russo, Anahí
author_sort	Dello Russo, Anahí
title	Eigenvalue approximation by mixed non-conforming finite element methods
title_short	Eigenvalue approximation by mixed non-conforming finite element methods
title_full	Eigenvalue approximation by mixed non-conforming finite element methods
title_fullStr	Eigenvalue approximation by mixed non-conforming finite element methods
title_full_unstemmed	Eigenvalue approximation by mixed non-conforming finite element methods
title_sort	eigenvalue approximation by mixed non-conforming finite element methods
publishDate	2014
url	http://sedici.unlp.edu.ar/handle/10915/146263
work_keys_str_mv	AT dellorussoanahi eigenvalueapproximationbymixednonconformingfiniteelementmethods
bdutipo_str	Repositorios
_version_	1764820460913033216

Eigenvalue approximation by mixed non-conforming finite element methods

Ejemplares similares