Can the Drumhead be Decomposed from Spectra? - An Application for the Chesapeake Bay

K. McIlhany[1], and R. Malek-Madani[2]
[1]Physics Department, United States Naval Academy, Annapolis, MD, USA
[2]Mathematics Department, United States Naval Academy, Annapolis, MD, USA

In 1966, mathematician Mark Kac proposed the question "Can One Hear the Shape of a Drum?" in an article for American Mathematical Monthly. In attempting to resolve the Chesapeake Bay from an eigenfunctional approach, a one-to-one mapping of this famous problem has been identified. The quote above will re-write to "Can One Hear the Shape of a Drum from Multiple Point-Sampled Spectra?". This problem will be presented with challenges to COMSOL and its interpretations regarding stability of the solution, error analysis and meshing issues.

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