Ben-Artzi, Jonathan; Marletta, Marco; Rösler, Frank (2022). Computing the Sound of the Sea in a Seashell. Foundations of computational mathematics, 22(3), pp. 697-731. Springer 10.1007/s10208-021-09509-9
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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: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Rösler, Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1615-3375 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Zarif Ibragimov |
Date Deposited: |
15 Mar 2023 07:59 |
Last Modified: |
15 Mar 2023 23:28 |
Publisher DOI: |
10.1007/s10208-021-09509-9 |
BORIS DOI: |
10.48350/180066 |
URI: |
https://boris.unibe.ch/id/eprint/180066 |
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