报告人：王筱平教授 

单位：香港科技大学

时间：2019年4月02日（周二）16：00      

地点：太白校区非线性科学研究中心报告厅（312）

报告摘要：We propose an efficient threshold dynamics method for topology optimizationfor fluids modeled with the Stokes equation. The proposed algorithm is based on minimization of an objective energy function that consists of the dissipation power in the fluid and the perimeter approximated by nonlocal energy, subject to a fluid volume constraint and an incompressibility condition. We show that the minimization problem can be solved with an iterative scheme in which the Stokes problem is approximated by a Brinkman equation and solved with the mixed finite-element method. The indicator functions of the fluid-solid regions are then updated according to simple convolutions followed by a thresholding step. We demonstrate mathematically that the iterative algorithm has the total energy decaying property. The proposed algorithm is simple and easy to implement. Extensive numerical experiments in both two and three dimensions show that the proposed iteration scheme is robust, efficient and insensitive to the initial guess and the parameters in the model.

报告人简介：王筱平，教授，香港科技大学。1984年毕业于北京大学，1990年在美国纽约大学柯朗研究所获博士学位，曾在伯克利数学科学研究所，科罗拉多大学，普林斯顿大学做访问学者。王筱平教授于2007年获得计算数学冯康奖，目前担任香港科技大学科学数学系主任、计算中心主任、多尺度建模与计算Croucher实验室主任，并担任许多知名杂志Applied Mathematics Research Express，Discrete and Continuous Dynamical Systems (B)，Methods and Applications of Analysis，Japan Journal of Industrial and Applied Mathematics，Modeling and Computation for Flow and Transport编委。

望各位老师和同学积极参加！