Accurate pressure post-process of a finite element method for elastoacoustics

This paper deals with a post-process to obtain a more accurate approximation of the fluid pressure from a finite element computation of the vibration modes of a fluid-structure coupled system. The underlying finite element method, based on a displacement formulation for both media, consists of using...

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Detalles Bibliográficos
Autores principales: Alonso, Ana Esther, Dello Russo, Anahí, Padra, Claudio, Rodríguez, Rodolfo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2004
Materias:
Matemática
Ciencias Exactas
fluid pressure
computation
Raviart-Thomas elements
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/141687
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-141687
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ciencias Exactas
fluid pressure
computation
Raviart-Thomas elements
spellingShingle Matemática
Ciencias Exactas
fluid pressure
computation
Raviart-Thomas elements
Alonso, Ana Esther
Dello Russo, Anahí
Padra, Claudio
Rodríguez, Rodolfo
Accurate pressure post-process of a finite element method for elastoacoustics
topic_facet Matemática
Ciencias Exactas
fluid pressure
computation
Raviart-Thomas elements
description This paper deals with a post-process to obtain a more accurate approximation of the fluid pressure from a finite element computation of the vibration modes of a fluid-structure coupled system. The underlying finite element method, based on a displacement formulation for both media, consists of using Raviart-Thomas elements for the fluid combined with standard continuous elements for the solid. An easy to compute post-process of the pressure is derived. The relation between this post-process and an alternative finite element approximation of the problem based on discretizing the fluid pressure by enriched Crouzeix-Raviart elements is studied. Higher order estimates for the L2 norm of the post-processed pressure are proved by exploiting this relation. As a by-product, higher order L2 estimates for the solid displacements obtained with the original method are also proved.
format Articulo
Articulo
author Alonso, Ana Esther
Dello Russo, Anahí
Padra, Claudio
Rodríguez, Rodolfo
author_facet Alonso, Ana Esther
Dello Russo, Anahí
Padra, Claudio
Rodríguez, Rodolfo
author_sort Alonso, Ana Esther
title Accurate pressure post-process of a finite element method for elastoacoustics
title_short Accurate pressure post-process of a finite element method for elastoacoustics
title_full Accurate pressure post-process of a finite element method for elastoacoustics
title_fullStr Accurate pressure post-process of a finite element method for elastoacoustics
title_full_unstemmed Accurate pressure post-process of a finite element method for elastoacoustics
title_sort accurate pressure post-process of a finite element method for elastoacoustics
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/141687
work_keys_str_mv AT alonsoanaesther accuratepressurepostprocessofafiniteelementmethodforelastoacoustics
AT dellorussoanahi accuratepressurepostprocessofafiniteelementmethodforelastoacoustics
AT padraclaudio accuratepressurepostprocessofafiniteelementmethodforelastoacoustics
AT rodriguezrodolfo accuratepressurepostprocessofafiniteelementmethodforelastoacoustics
bdutipo_str Repositorios
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