Finite element approximation of optimal control problem with integral fractional Laplacian and state


主讲人:陈艳萍 华南师范大学教授


地点:腾讯会议 869 393 614



内容介绍:In this talk, a fractional optimal control problem with fractional Laplacian and integral state constraint is investigated. The first order optimality system and regularity of the solutions to optimal control problem are derived. Piecewise linear finite element method combined with variational discretization approach is used to approximate the optimal control problem. A priori error estimates for finite element approximation of the state, adjoint state and control variable are derived. Numerical examples are given to illustrate the theoretical findings.