报告摘要：In this talk, we investigate an optimal control problem governed by a time fractional diffusion equation with non-homogeneous boundary condition. We construct a suitable weak formulation, study its well-posedness, and develop a spectral Galerkin method for its numerical solution. The main contributions of this work are: 1) the study of optimality conditions, which is crucial for analyzing the optimal control problem; 2) the derivation of a priori error estimates for the space-time spectral approximation; 3) the derivation of a posteriori error estimates for the state, costate, and control approximations; 4) the conduct of numerical experiments to confirm the efficiency of the proposed method. The obtained numerical results demonstrate exponential convergence for smooth exact solutions.

报告人简介：陈艳萍，南京邮电大学博士生导师、国务院政府特殊津贴专家、教育部新世纪人才。中国工业与应用数学学会油水资源数值方法专业委员会副主任、国际数学建模挑战赛专家委员会和学术及顾问委员、国际SCI学术期刊《AAMM》编委。主持获得教育部自然科学二等奖和广东省科学技术二等奖、参与获得国家教学成果二等奖和教育部自然科学一等奖等等。2014-2023年连续10年入选Elsevier中国高被引学者榜单，入选2023全球顶尖前10万科学家排名和数学类全球前2%顶尖科学家榜单。主持国家自然科学基金重点项目1项和面上项目8项。

报告时间：2024年5月27日15:30

报告地点：北衡楼1421