论文标题
计算贝壳中的大海的声音
Computing the Sound of the Sea in a Seashell
论文作者
论文摘要
是否存在一个近似过程，以计算任何Helmholtz共振的共振，无论其特定形状如何，都可以解决。给出了一个积极的答案，这表明所有人必须假设谐振室是有界的，并且其边界为$ \ MATHCAL C^2 $。证明是建设性的，提供了一种通用算法，该算法只需要在任何请求的点上访问会议厅的特征函数的值即可。
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 $\mathcal C^2$. 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.
