Numerical comparison of eigenvalue algorithms for vibroacoustic problems

Abstract : This paper concerns the study of vibroacoustic problems. By considering a displacement-pressure formulation, a non-symmetric eigenvalue problem is obtained. In order to solve it, three numerical schemes are compared: the classical ARPACK solver, an indicator method (initially proposed in B. Claude et al. Comptes Rendus Mécaniques, 2017, 345(2)) which has the property to be null at the eigenvalues, and an original method based on the analysis of Taylor series expansions near a singularity. Numerical results show all the evaluated numerical methods give accurate results but the indicator method requires the lowest computational times. Nevertheless, the original method based on the behavior of the perturbation method close to eigenvalues seems to be a very promising technique.
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Soumis le : lundi 4 juin 2018 - 21:44:06
Dernière modification le : dimanche 10 juin 2018 - 01:01:37

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B. Claude, L. Duigou, G. Girault, Y. Guevel, Jean-Marc Cadou. Numerical comparison of eigenvalue algorithms for vibroacoustic problems. Mechanics Research Communications, Elsevier, 2018, 〈10.1016/j.mechrescom.2018.05.007〉. 〈hal-01807602〉

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