A conjugate gradient method for distributed optimal control problems with nonhomogeneous Helmholtz equation

作者：

Highlights：

• A conjugate gradient method with inexact line search is firstly applied to solve the optimal control problem with nonhomogeneous Helmholtz equation.

• The analysis of the global convergence of proposed method is given.

• The linear convergence rate of the algorithm is proved theoretically and numerically.

摘要

•A conjugate gradient method with inexact line search is firstly applied to solve the optimal control problem with nonhomogeneous Helmholtz equation.•The analysis of the global convergence of proposed method is given.•The linear convergence rate of the algorithm is proved theoretically and numerically.

论文关键词：Distributed optimal control,Helmholtz equation,Conjugate gradient method

论文评审过程：Received 1 July 2020, Revised 6 January 2021, Accepted 14 January 2021, Available online 2 March 2021, Version of Record 2 March 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126019