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MGOPT with gradient projection method for solving bilinear elliptic optimal control problems

机译:MGOPT梯度投影法求解双线性椭圆最优控制问题

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摘要

Multigrid optimization schemes that solve optimal control problems with bilinear elliptic partial differential equations are presented. For the solution of the control-unconstrained and control-constrained problems, finite difference discretization is utilized. To solve the control-unconstrained case, multigrid for optimization (MGOPT) method is considered and for the control-constrained case, MGOPT with gradient projection method is applied to solve the problem. Numerical experiments show the efficiency of these techniques. [PUBLICATION ABSTRACT]
机译:提出了利用双线性椭圆型偏微分方程解决最优控制问题的多重网格优化方案。为了解决控制不受约束和控制受约束的问题,利用了有限差分离散化。为了解决无约束情况,考虑了优化的多重网格(MGOPT)方法,对于有约束情况,则采用带有梯度投影方法的MGOPT来解决该问题。数值实验表明了这些技术的有效性。 [出版物摘要]

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