Computing the sound of the sea in a seashell

Ben-Artzi, Jonathan ORCID: https://orcid.org/0000-0001-6184-9313, Marletta, Marco ORCID: https://orcid.org/0000-0003-1546-4046 and Rosler, Frank 2022. Computing the sound of the sea in a seashell. Foundations of Computational Mathematics 22 , pp. 697-731. 10.1007/s10208-021-09509-9

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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
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	This article is licensed under a Creative Commons Attribution 4.0 International License
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:	05 May 2023 20:10
URI:	https://orca.cardiff.ac.uk/id/eprint/139094

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