Applied Math Seminar: Chiu-Yen Kao (CMC)

In this talk, we will show the experiments of the vibration of plates to generate Chladni’s figures and discuss computational approaches to optimization problems of inhomogeneous rods and plates. We consider both optimization of eigenvalues and localization of eigenfunctions. These problems are motivated by physical problems including the determination of extremum of fundamental vibration frequency and the localization of the vibration displacement. We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems.

This is a joint work with Weitao Chen at University of California, at Riverside and it is dedicated to our esteemed collaborator and friend: Ching-Shan Chou.