ncku-talk2015-12-30

RCTS Scientific Computing Seminar

DATE 2015-12-30　11:10-12:00

PLACE 數學館 3F會議室

SPEAKER Chiu-Yen Kao 教授（Claremont Mckenna College）

TITLE Shape 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.

RCTS Scientific Computing Seminar

DATE	2015-12-30　11:10-12:00

PLACE	數學館 3F會議室

SPEAKER	Chiu-Yen Kao 教授（Claremont Mckenna College）

TITLE	Shape 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.