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Computing the sound of the sea in a seashell

Ben-Artzi, Jonathan, Marletta, Marco and Rosler, Frank 2021. Computing the sound of the sea in a seashell. Foundations of Computational Mathematics
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Abstract

The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive answer is given, and it is shown that all that one has to assume is that the resonator chamber is bounded and that its boundary is $C^2$. The proof is constructive, providing a universal algorithm which only needs to access the values of the characteristic function of the chamber at any requested point.

Item Type: Article
Status: In Press
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer Verlag (Germany)
ISSN: 1615-3375
Funders: EPSRC, European Commission
Date of First Compliant Deposit: 3 March 2021
Date of Acceptance: 25 February 2021
Last Modified: 03 Mar 2021 15:00
URI: http://orca.cf.ac.uk/id/eprint/139094

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