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理学院青年学术论坛第101期——An alternating direction method of multipliers for the ellipticequation optimal control problem
发布时间:2017-08-02

报告题目:An  alternating direction method of multipliers for the ellipticequation optimal  control problem

报告人:宋海明博士  吉林大学数学学院

主持人:袁健华教授

报告时间:2017年8月3日10:00-11:00

报告地点:主楼1214

报告摘要:

An alternating  direction method ofmultipliers (ADMM) is proposed for solving the elliptic  equation optimal controlproblem. The unconstrained as well as Box-constrained  cases of the Dirichletboundary control, Robin boundary control, and right hand  side control problemsare considered here. A finite element method is applied to  approximate thestate variable and the control variable, then the continuous  optimal controlproblem is discretized into a finite dimensional one. Based on the  separable structure,ADMM is applied to solve the discretized system. The global  convergence analysisis established, which includes the discretization error by  the finite elementand the iterative error by ADMM. Finally, numerical  simulations are presentedto verify the efficiency of the proposed  algorithm.

 

报告人简介:

宋海明,2014年毕业于吉林大学数学学院,取得博士学位。随后赴香港浸会大学交流访问一年,2015年入职吉林大学数学学院。主要从事偏微分方程数值解及PDE最优控制问题数值算法方面的研究,在相关领域发表论文10 余篇