56 citations · 104 across the 12 of their papers we have counts for
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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…
math.NA2023
A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces
Wei Gong, Zhiyu Tan
In this paper we propose a new finite element method for solving elliptic optimal control problems with pointwise state constraints, including the distributed controls and the Diri…
math.NA2023★ 1 cited
On the well-posedness of tracking Dirichlet data for Bernoulli free boundary problems
Wei Gong, Le Liu
The aim of this paper is to study the shape optimization method for solving the Bernoulli free boundary problem, a well-known ill-posed problem that seeks the unknown free boundary…