MYSTERIES OF THE EQUILATERAL TRIANGLE - HIKARI Ltd

102 Applications
The eigenstructure of the Laplacian arises in heat transfer, vibration theory,
acoustics, electromagnetics and quantum mechanics to name but a few of its
ubiquitous appearances in science and engineering. G. Lamé discovered explicit
formulas for the cases of Dirichlet and Neumann boundary conditions which
were later extended to the Robin boundary condition by B. J. McCartin [219].
Figure 3.33 shows the fundamental mode for the Dirichlet boundary condition.