3 papers
math.NA2026
Analysis of Robin-boundary control for the Boussinesq equations
Wei Gong, Dongdong Liang, Xianbing Luo +1
In this paper, we study an optimal boundary control problem for the Boussinesq equations, which couple the time-dependent Navier-Stokes system with a heat equation, where the contr…
math.OC2024
Analysis and approximation to parabolic optimal control problems with measure-valued controls in time
Wei Gong, Dongdong Liang
In this paper, we investigate an optimal control problem governed by parabolic equations with measure-valued controls over time. We establish the well-posedness of the optimal cont…
math.NA2023
A new error analysis for parabolic Dirichlet boundary control problems
Dongdong Liang, Wei Gong, Xiaoping Xie
In this paper, we consider the finite element approximation to a parabolic Dirichlet boundary control problem and establish new a priori error estimates. In the temporal semi-discr…