四川大学学报（自然科学版）2022，Vol.59Issue(4)：10-16,7.DOI:10.19907/j.0490-6756.2022.041002
周期热传导方程优化控制问题的一种迭代解法
An iterative solver for time-periodic heat optimal control problems
摘要
Abstract
In this paper,an iterative algorithm is introduced for solving a class of optimal control prob-lems constrained by time-periodic heat equation,where the optimization is concerned by searching a best source term of the heat equation to minimize the objective function.By applying the optimality condi-tion,the problem is firstly transformed into two coupled time-periodic heat equations.Then the iterative algorithm is applied to decouple the coupled PDE system.Finally,the equations are separately solved in the Gauss-Seidel pattern.Numerical examples are presented to illustrate the robustness of the conver-gence rate of algorithm with respect to the discretization parameters.关键词
周期热传导方程/优化控制/迭代Key words
Time-periodic heat equation/Optimal control/Iteration分类
数理科学引用本文复制引用
李科,郭大立,赵云祥..周期热传导方程优化控制问题的一种迭代解法[J].四川大学学报（自然科学版）,2022,59(4):10-16,7.基金项目
国家重大专项基金(2016ZX05065,2016ZX05042-003) （2016ZX05065,2016ZX05042-003）
