Xuan Zheng
ABSTRACT
In this paper, we consider an optimal control problem for an elliptic obstacle problem. Using a family of semi-linear elliptic partial differential equations to approximate the obstacle problem, we obtain an approximate optimal problem for partial differential equations. Then, we propose a new method to prove the objective functional in the approximate optimal problem is Gâteaux-differentiable and compute its gradient. The gradient descent algorithm and Gauss Newton algorithm are presented to find the numerical solution. Numerical results show the efficiency and stability of the algorithms.
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Index Terms
- Optimal Control of Obstacle Problem
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