题目：Numerical methods for shape and topology optimization of eigen-frequencies

时间：2023年6月8日 14:00-16:00

地点：机械与动力工程学院 F301会议室

邀请人：张滕飞 副教授（核科学与工程学院）

报告人简介

朱升峰，华东师范大学数学科学学院教授。研究方向为偏微分方程数值解、形状优化、拓扑优化算法。
主持基金委、上海市科委科研项目，在SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing、Computer Methods in Applied Mechanics and Engineering等发表论文50篇。

报告摘要

We consider numerically solving several eigenfrequency-constrained shape and topology optimization problems. For shape optimization, both distributed and boundary types of Eulerian derivatives are derived with shape calculus. A priori error estimates for finite element discretizations of both shape gradients are shown. The distributed shape gradient has better convergence and is advocated to be used in numerical shape gradient optimization algorithms. Moreover, boundary shape gradient of correction type is introduced. For topology optimization, level-set method and efficient multi-mesh phase-field methods are developed. Numerical results will be presented.