RCTS Scientific Computing Seminar

DATE2015-12-30 11:10-12:00

PLACE數學館 3F會議室

SPEAKERChiu-Yen Kao 教授(Claremont Mckenna College

TITLEShape Optimization for Eigenvalue Problems Involving Biharmonic Operators

ABSTRACT The displacement of an isotropic plate vibration satisfies a fourth order partial differential equation with a biharmonic operator. In this talk, we will discuss several recent results for shape optimization of the corresponding eigenvalue problem. The aim is to find the minimum or maximum of a particular eigenvalue. We use efficient rearrangement algorithms to achieve the optimal configuration and numerous results will be shown to demonstrate the efficiency and robustness of the algorithms.