Can the Drumhead be Decomposed from Spectra? - An Application for the Chesapeake BayK. McIlhany, and R. Malek-Madani
Physics Department, United States Naval Academy, Annapolis, MD, USA
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.