报告题目：Immersed finite elements for optimal control problems of elliptic PDEs with interfaces

报告人：张志跃 教授  南京师范大学

报告时间：2017. 11. 21   15:30-16:30

报告地点：知新楼B924

摘要：This talk presents a numerical method and analysis, based on the variational discretization concept, for optimal control problems governed by elliptic PDEs with interfaces. The method uses a simple uniform mesh which is independent of the interface. Due to the jump of the coefficient across the interface, the standard linear finite element method can not achieve optimal convergence when the uniform mesh is used. Therefore the immersed finite element method (IFEM)  is used to discretize the state equation required in the variational discretization approach. Optimal error estimates for the control, state and adjoint state are derived. Numerical examples are provided to confirm the theoretical results.