Nannen, L., & Wess, M. (2024). Computing resonances of a wind instrument using a Krylov solver based on ltered time domain solutions. In L. Gizon (Ed.), Proceedings of The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024) (pp. 298–299). Edmond.
E101-03-1 - Forschungsgruppe Computational Mathematics in Engineering
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Published in:
Proceedings of The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024)
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Date (published):
27-Jun-2024
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Event name:
The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024)
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Event date:
30-Jun-2024 - 5-Jul-2024
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Event place:
Berlin, Germany
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Number of Pages:
2
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Publisher:
Edmond
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Keywords:
eigenvalue problem; Krylov method; filtering of time domain solutions
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Abstract:
We present a method for computing eigenvalues and eigenvectors of a generalized Hermitian, matrix eigenvalue problem. The work is focused on large scale eigenvalue problems, where the application of a direct inverse is out of reach. Instead, an explicit time domain integrator for the corresponding wave problem is combined with a
proper filtering and a Krylov iteration in order to solve for eigenvalues within a given region of interest. To demonstrate the effciency we report numerical results of acoustic resonances in a hunting horn.
