论文标题
一种新的放松方法，用于最佳控制半线性椭圆形变异不平等问题障碍问题
A new Relaxation Method for Optimal Control of Semilinear Elliptic Variational Inequalities Obstacle Problems
论文作者
论文摘要
在本文中，我们研究了由半椭圆形的变分不平等所控制的最佳控制问题，涉及对国家的限制，更确切地说是障碍问题。由于我们采用了数值的观点，因此首先放宽了问题的可行域，然后使用数学编程方法和惩罚方法，我们获得具有光滑的Lagrange乘数的最佳条件。提出了一些使用IPOPT算法的数值实验，以验证我们方法的效率。
In this paper, we investigate optimal control problems governed by semilinear elliptic variational inequalities involving constraints on the state, and more precisely the obstacle problem. Since we adopt a numerical point of view, we first relax the feasible domain of the problem, then using both mathematical programming methods and penalization methods we get optimality conditions with smooth Lagrange multipliers. Some numerical experiments using IPOPT algorithm are presented to verify the efficiency of our approach.
