Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

[thumbnail of Ben-Artzi2022_Article_ComputingTheSoundOfTheSeaInASe.pdf]
Preview
PDF - Published Version
Available under License Creative Commons Attribution.

Download (1MB) | Preview

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

Citation Data

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics