(1) Yongcun Song; Xiaoming Yuan; Hangrui Yue ; The ADMM-PINNs Algorithmic Framework for
Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach, SIAM Journal on Scientific
Computing, 2024, 46(6): c659-c687
(2) Yongcun Song; Xiaoming Yuan; Hangrui Yue;A numerical approach to the optimal control of
thermally convective flows, Journal of Computational Physics,2023, 494:112458
(3) Roland Glowinski; Yongcun Song; Xiaoming Yuan; Hangrui Yue ; Bilinear Optimal Control of
an Advection-Reaction-Diffusion System, SIAM Review, 2022, 64(2): 392-421
(4) Roland Glowinski; Yongcun Song; Xiaoming Yuan; Hangrui Yue ; Application of the
Alternating Direction Method of Multipliers to Control Constrained Parabolic Optimal Control
Problems and Beyond, Annals of Applied Mathematics, 2022, 38(2): 115-158
(5) Wenyi Tian; Xiaoming Yuan; Hangrui Yue ; An ADMM-Newton-CNN Numerical Approach to a TV
Model for Identifying Discontinuous Diffusion Coefficients in Elliptic Equations: Convex Case
with Gradient Observations, Inverse Problems, 2021, 37(8): 0-085004
(6) Yongcun Song; Xiaoming Yuan; Hangrui Yue ; An Inexact Uzawa Algorithmic Framework for
Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem, SIAM
Journal on Numerical Analysis, 2019, 57(6): 2656-2684
(7) Hangrui Yue; Qingzhi Yang; Xiangfeng Wang; Xiaoming Yuan ; Implementing the Alternating
Direction Method of Multipliers for Big Datasets: A Case Study of Least Absolute Shrinkage and
Selection Operator, SIAM Journal on Scientific Computing, 2018, 40(5): A3121-A3156