报告题目：Efficient numerical methods for shape optimization constrained by stochastic partial differential equation

报告人：Dr. Wenju Zhao (赵文举博士), Department of Mathematics, Southern University of Science and Technology, Shenzhen, Guangdong

报告时间：2018年10月30日 14:00至15:00

报告地点：山东大学中心校区知新楼B1044

摘要：

The stochastic shape optimal control is studied. Stochastic calculus of shape variation and shape derivatives are considered to establish a control strategy such that the expectation of a tracking objective functional is minimized. The finite element method is used to discretize the state and adjoint systems and provides mesh moving direction. To reduce the computational complexity for uncertainty quantification, the sparse grid collocation method is applied to match the probability distribution for the mild large scale optimization, and stochastic sampling-based descent method is considered for the large scale sampling optimization. The numerical results are provided to demonstrate the efficiency and effectiveness of our algorithms.

邀请人：赵卫东