Numerical solutions of the optimal control problem governed by a phase field model
Numerical solutions of the optimal control problem governed by a phase field model
复制标题
相场模型最优控制问题的数值解
DOI：
10.1007/978-3-0348-6418-3_5
复制
发表时间：
1991
期刊：
影响因子：
--
通讯作者：
K. Hoffmann
中科院分区：
文献类型：
--
作者：
Zhiming Chen;K. Hoffmann
提出了一种求解相场模型下最优控制问题的数值方法。该方法是基于有限元法近似的状态方程和梯度算法来解决离散的最优控制问题。证明了离散最优解收敛于连续最优解和梯度算法的收敛性。给出了一个数值例子。
A numerical method to solve the optimal control problem which is governed by a phase field model is presented. The method is based on a finite element method to approximate the state equations and a gradient algorithm to solve the discrete optimal control problem. The convergence of the discrete optimal solutions to the continuous optimal solutions and the convergence of the gradient algorithm are proved. A numerical example is given.