标题：An iterative solver for time-periodic heat optimal control problems

报告时间：2024年4月19日（星期五）10:30-11:15

报告地点：线上腾讯会议（会议ID:961473412 密码:13267)

主讲人：李科

主办单位：数学与统计学院

报告内容简介：

　　In this talk we introduce an iterative algorithm for solving a class of optimal control problems 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 condition, the problem is firstly transformed into two coupled time-period heat equations. Then iterative algorithm is applied to decouple the PDE system. Finally, the equations are separately solved in the Gauss-Seidel pattern. Numerical examples are presented to illustrate the robustness of convergence rate of the algorithm with respect to the discretization parameters.

主讲人简介：

　　李科教授主要从事石油工程中的数学问题研究，研究领域涉及石油工程建模以及相关数学问题的数值计算。近年来在大规模线性代数问题数值求解方程取得了一些创新研究成果。