An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids

This paper deals with the computation of the vibration modes of a system consisting of a linear elastic solid interacting with an acoustic fluid. A finite element method based on meshes for each medium not matching on the fluid-solid interface is analyzed. Optimal order of convergence is proved for...

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Autores principales: Alonso, Ana Esther, Dello Russo, Anahí, Otero Souto, César, Padra, Claudio, Rodríguez, Rodolfo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Matemática
Finite Element Method
Vibration Mode
Numerical Test
Error Estimator
Posteriori Error
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/133108
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-133108
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Finite Element Method
Vibration Mode
Numerical Test
Error Estimator
Posteriori Error
spellingShingle Matemática
Finite Element Method
Vibration Mode
Numerical Test
Error Estimator
Posteriori Error
Alonso, Ana Esther
Dello Russo, Anahí
Otero Souto, César
Padra, Claudio
Rodríguez, Rodolfo
An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
topic_facet Matemática
Finite Element Method
Vibration Mode
Numerical Test
Error Estimator
Posteriori Error
description This paper deals with the computation of the vibration modes of a system consisting of a linear elastic solid interacting with an acoustic fluid. A finite element method based on meshes for each medium not matching on the fluid-solid interface is analyzed. Optimal order of convergence is proved for the approximation of the eigenfunctions, as well as a double order for the eigenvalues. Numerical tests confirming the theoretical results and showing the advantage of using non-matching grids are reported. Finally, an a posteriori error estimator for this method is introduced and combined with a mesh refinement strategy. The efficiency of this adaptive technique is tested with further numerical experiments.
format Articulo
Articulo
author Alonso, Ana Esther
Dello Russo, Anahí
Otero Souto, César
Padra, Claudio
Rodríguez, Rodolfo
author_facet Alonso, Ana Esther
Dello Russo, Anahí
Otero Souto, César
Padra, Claudio
Rodríguez, Rodolfo
author_sort Alonso, Ana Esther
title An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
title_short An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
title_full An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
title_fullStr An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
title_full_unstemmed An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
title_sort adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/133108
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