1 citations · 1 across the 5 of their papers we have counts for
5 papers
A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems
Xiaotong Chen, Xiaoliang Song, Zixuan Chen +1
In this paper, the elliptic PDE-constrained optimization problem with box constraints on the control is studied. To numerically solve the problem, we apply the 'optimize-discretize…
Structured FISTA for Image Restoration
Zixuan Chen, James Nagy, Yuanzhe Xi +1
In this paper, we propose an efficient numerical scheme for solving some large scale ill-posed linear inverse problems arising from image restoration. In order to accelerate the co…
An FE-dABCD algorithm for elliptic optimal control problems with constraints on the gradient of the state and control
Zixuan Chen, Xiaoliang Song, Bo Yu +1
In this paper, elliptic control problems with integral constraint on the gradient of the state and box constraints on the control are considered. The optimal conditions of the prob…
APP-Hom Method for Box Constrained Quadratic Programming
Guoqiang Wang, Bo Yu, Zixuan Chen
In this paper, based on a -linear convergence analysis and an estimate of the linear convergence factor of the proximal point (PP) algorithm for solving box constrained quadrati…
A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem
Zixuan Chen, Xiaoliang Song, Xuping Zhang +1
In this paper, elliptic control problems with pointwise box constraints on the state is considered, where the corresponding Lagrange multipliers in general only represent regular B…