Computing the Sound of the Sea in a Seashell
Computing the Sound of the Sea in a Seashell
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DOI：
10.1007/s10208-021-09509-9
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发表时间：
2021-06-09
影响因子：
3
通讯作者：
Rosler, Frank
中科院分区：
文献类型：
--
作者：
Ben-Artzi, Jonathan;Marletta, Marco;Rosler, Frank
解决了是否存在近似程序来计算任何亥姆霍兹谐振器的谐振（无论其特定形状如何）的问题。给出了肯定的答案，并且表明我们必须假设的只是谐振腔是有界的并且其边界是 C-2。该证明是建设性的，提供了一种通用算法，只需在任何请求点访问腔室特征函数的值即可。
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.