A Numerical study of the Dirichlet and Neumann eigenvalue problem of the Laplacian on cusp domains
Shiu Hong Lui · Journal of Computational Methods in Sciences and Engineering · 2013
Consider a planar annulus. A result of Ramm and Shivakumar states that as the inner circle moves toward the outer circle, the principal Dirichlet eigenvalue of the Laplacian decreases. Numerical experiments in that paper clearly verify this result. T