A MORLEY FINITE ELEMENT METHOD FOR AN ELLIPTIC DISTRIBUTED OPTIMAL CONTROL PROBLEM WITH POINTWISE STATE AND CONTROL CONSTRAINTS

Brenner Susanne C.; Gudi Thirupathi; Porwal Kamana; Sung Li-yeng

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A MORLEY FINITE ELEMENT METHOD FOR AN ELLIPTIC DISTRIBUTED OPTIMAL CONTROL PROBLEM WITH POINTWISE STATE AND CONTROL CONSTRAINTS

机译：具有椭圆状态和控制约束的椭圆分布最优控制问题的Morley有限元方法。

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We design and analyze a Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints on convex polygonal domains. It is based on the formulation of the optimal control problem as a fourth order variational inequality. Numerical results that illustrate the performance of the method are also presented.

机译：我们设计和分析了一种具有点状状态和凸多边形域控制约束的椭圆分布最优控制问题的Morley有限元方法。它基于将最优控制问题表述为四阶变分不等式。数值结果也说明了该方法的性能。

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《ESAIM》 |2018年第3期|1181-1206|共26页
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Brenner Susanne C.; Gudi Thirupathi; Porwal Kamana; Sung Li-yeng;
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1. Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state [J] . Brenner S. C., Sung L-Y, Wollner W. Optimization and Engineering . 2021,第4期

机译：一个尺寸椭圆分布式最优控制问题的有限元方法对状态的衍生作用
2. A NEW CONVERGENCE ANALYSIS OF FINITE ELEMENT METHODS FOR ELLIPTIC DISTRIBUTED OPTIMAL CONTROL PROBLEMS WITH POINTWISE STATE CONSTRAINTS [J] . Brenner Susanne C., Sung Li-yeng SIAM Journal on Control and Optimization . 2017,第4期

机译：椭圆分布式最优控制问题的新收敛性分析与尖态约束的椭圆分布式最优控制问题
3. P_1 finite element methods for an elliptic optimal control problem with pointwise state constraints [J] . Susanne C. Brenner, Li-yeng Sung, Joscha Gedicke IMA Journal of Numerical Analysis . 2020,第1期

机译：POTIVE状态约束的椭圆最优控制问题的P_1有限元方法
4. Numerical Approximation of Elliptic Control Problems with Finitely Many Pointwise Constraints [C] . Eduardo Casas, Mariano Mateos International Conference on Numerical Analysis and Applied Mathematics . 2009

机译：椭圆控制问题的数值逼近许多尖尖约束
5. Wavelet-based finite element methods for approximations of optimal controls for distributed parameter systems [D] . Ko, Jeonghwan. 1996

机译：基于小波的有限元方法，用于分布式参数系统的最佳控制近似
6. Time optimal controls of the linear Fitzhugh–Nagumo equation with pointwise control constraints [O] . Karl Kunisch, Lijuan Wang -1

机译：具有逐点控制约束的线性Fitzhugh–Nagumo方程的时间最优控制
7. P 1 finite element methods for an elliptic optimal control problem with pointwise state constraints [O] . Susanne C Brenner, Li-yeng Sung, Joscha Gedicke 2018

机译：P 1椭圆最优控制问题的有限元方法用点状态约束
8. One shot methods for optimal control of distributed parameter systems 1: Finite dimensional control [R] . Taasan, Shlomo 1991

机译：用于分布式参数系统的最佳控制的一次性方法1：有限尺寸控制

A MORLEY FINITE ELEMENT METHOD FOR AN ELLIPTIC DISTRIBUTED OPTIMAL CONTROL PROBLEM WITH POINTWISE STATE AND CONTROL CONSTRAINTS

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