In this paper, elliptic control problems with the integral constraint on the gradient of the state
and the box constraint on the control are considered. The optimality conditions for the …

A conjugate gradient algorithm with strong Wolfe-Powell line search for distributed optimal
control problem is proposed. The optimal system has been discussed in [1]. The proposed …

In this paper, sparse elliptic PDE-constrained optimization problems with L 1-2-control cost
(L 1-2-EOCP) are considered. To induce control sparsity, traditional finite element models …

In this paper, elliptic optimal control problems with L 1-control cost and box constraints on
the control are considered. To numerically solve the optimal control problems, we use the …

A diagonal finite element-projection-proximal gradient (DFE-P-PG) algorithm and its
accelerated forms for elliptic optimal control problem with L 1-control cost are proposed in …

This paper focuses on efficient numerical methods for optimal distribution control problem of
stationary heat or cold source. With the application of finite element method to discretize the …

In this paper, elliptic PDE-constrained optimization problems with box constraints on the
control are considered. To numerically solve the problems, we apply the 'optimize-discretize …

Optimization problems with PDE constraints are widely used in engineering and technical
fields. In some practical applications, it is necessary to smooth the control variables and …

In this paper we study and compare two multigrid relaxation schemes with coarsening by
two, three, and four for solving elliptic sparse optimal control problems with control …

本文研究了具有混合控制–状态约束的椭圆最优控制问题. 我们采用有限元法离散化连续型最
优化问题, 并使用由正定矩阵诱导的范数作为非精项, 近似计算经典交替方向乘子算法中的子 …