国家自然科学基金委员会, 青年科学基金项目（C类）[原青年科学基金项目], 12301399, 偏微分方程

约束优化问题中几类非光滑问题的优化算法, 2024-01-01 至 2026-12-31, 30万元, 在研, 主持

(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