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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2000
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_84899257_v_n_p_Bermudez http://hdl.handle.net/20.500.12110/paper_84899257_v_n_p_Bermudez |
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| Sumario: | 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. |
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