A finite element method to compute damped vibration modes in dissipative acoustics

We analyze a quadratic eigenvalue problem related to the damped vibrations of an acoustic fluid in a cavity with absorbing walls. The problem is shown to be equivalent to the spectral problem for a non-compact operator and a thorough spectral characterization is given. We consider a discretization b...

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Autores principales: Bermúdez, A., Durán, R.G., Rodríguez, R., Solomin, J., Commission of European Communities (EC); Ministerio de Ciencia y Tecnologia; Generalitat de Catalunya, Comissio Interdepartamental; de Recerca i Innovacio Tecnologica (CIRIT); Autoritat Portuaria de Barcelona
Formato: CONF
Materias:
Dissipative acoustics
Finite element spectral approximation
Quadratic eigenvalue problems
Damped vibrations
Exact analytical solutions
Numerical results
Raviart-Thomas finite elements
Spectral approximations
Spectral characterization
Computational methods
Spectrum analyzers
Eigenvalues and eigenfunctions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_84899257_v_n_p_Bermudez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_84899257_v_n_p_Bermudez2023-10-03T16:42:29Z A finite element method to compute damped vibration modes in dissipative acoustics Bermúdez, A. Durán, R.G. Rodríguez, R. Solomin, J. Commission of European Communities (EC); Ministerio de Ciencia y Tecnologia; Generalitat de Catalunya, Comissio Interdepartamental; de Recerca i Innovacio Tecnologica (CIRIT); Autoritat Portuaria de Barcelona Dissipative acoustics Finite element spectral approximation Quadratic eigenvalue problems Damped vibrations Dissipative acoustics Exact analytical solutions Numerical results Quadratic eigenvalue problems Raviart-Thomas finite elements Spectral approximations Spectral characterization Computational methods Spectrum analyzers Eigenvalues and eigenfunctions We analyze a quadratic eigenvalue problem related to the damped vibrations of an acoustic fluid in a cavity with absorbing walls. The problem is shown to be equivalent to the spectral problem for a non-compact operator and a thorough spectral characterization is given. We consider a discretization based on Raviart-Thomas finite elements and show that it is free of spurious modes and convergent with optimal order. Numerical results for a test case with known exact analytical solution are also included. Fil:Durán, R.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_84899257_v_n_p_Bermudez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dissipative acoustics
Finite element spectral approximation
Quadratic eigenvalue problems
Damped vibrations
Dissipative acoustics
Exact analytical solutions
Numerical results
Quadratic eigenvalue problems
Raviart-Thomas finite elements
Spectral approximations
Spectral characterization
Computational methods
Spectrum analyzers
Eigenvalues and eigenfunctions
spellingShingle Dissipative acoustics
Finite element spectral approximation
Quadratic eigenvalue problems
Damped vibrations
Dissipative acoustics
Exact analytical solutions
Numerical results
Quadratic eigenvalue problems
Raviart-Thomas finite elements
Spectral approximations
Spectral characterization
Computational methods
Spectrum analyzers
Eigenvalues and eigenfunctions
Bermúdez, A.
Durán, R.G.
Rodríguez, R.
Solomin, J.
Commission of European Communities (EC); Ministerio de Ciencia y Tecnologia; Generalitat de Catalunya, Comissio Interdepartamental; de Recerca i Innovacio Tecnologica (CIRIT); Autoritat Portuaria de Barcelona
A finite element method to compute damped vibration modes in dissipative acoustics
topic_facet Dissipative acoustics
Finite element spectral approximation
Quadratic eigenvalue problems
Damped vibrations
Dissipative acoustics
Exact analytical solutions
Numerical results
Quadratic eigenvalue problems
Raviart-Thomas finite elements
Spectral approximations
Spectral characterization
Computational methods
Spectrum analyzers
Eigenvalues and eigenfunctions
description We analyze a quadratic eigenvalue problem related to the damped vibrations of an acoustic fluid in a cavity with absorbing walls. The problem is shown to be equivalent to the spectral problem for a non-compact operator and a thorough spectral characterization is given. We consider a discretization based on Raviart-Thomas finite elements and show that it is free of spurious modes and convergent with optimal order. Numerical results for a test case with known exact analytical solution are also included.
format CONF
author Bermúdez, A.
Durán, R.G.
Rodríguez, R.
Solomin, J.
Commission of European Communities (EC); Ministerio de Ciencia y Tecnologia; Generalitat de Catalunya, Comissio Interdepartamental; de Recerca i Innovacio Tecnologica (CIRIT); Autoritat Portuaria de Barcelona
author_facet Bermúdez, A.
Durán, R.G.
Rodríguez, R.
Solomin, J.
Commission of European Communities (EC); Ministerio de Ciencia y Tecnologia; Generalitat de Catalunya, Comissio Interdepartamental; de Recerca i Innovacio Tecnologica (CIRIT); Autoritat Portuaria de Barcelona
author_sort Bermúdez, A.
title A finite element method to compute damped vibration modes in dissipative acoustics
title_short A finite element method to compute damped vibration modes in dissipative acoustics
title_full A finite element method to compute damped vibration modes in dissipative acoustics
title_fullStr A finite element method to compute damped vibration modes in dissipative acoustics
title_full_unstemmed A finite element method to compute damped vibration modes in dissipative acoustics
title_sort finite element method to compute damped vibration modes in dissipative acoustics
url http://hdl.handle.net/20.500.12110/paper_84899257_v_n_p_Bermudez
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