56 citations · 104 across the 12 of their papers we have counts for
12 papers
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…
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…
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…
A New Global Divergence Free and Pressure-Robust HDG Method for Tangential Boundary Control of Stokes Equations
Gang Chen, Wei Gong, Mariano Mateos +2
In [ESAIM: M2AN, 54(2020), 2229-2264], we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optim…
Convergence analysis of the Schwarz alternating method for unconstrained elliptic optimal control problems
Wei Gong, Felix Kwok, Zhiyu Tan
In this paper we analyze the Schwarz alternating method for unconstrained elliptic optimal control problems. We discuss the convergence properties of the method in the continuous c…
Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space
W. Gong, M. Mateos, J. Singler +1
We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. We consider cost functionals with two different boundary control regularization terms: the norm a…
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
Wei Gong, Weiwei Hu, Mariano Mateos +2
We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes equations with an penalty on the boundary control. The contribution of this paper…
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity
Weiwei Hu, Mariano Mateos, John R. Singler +2
In the first part of this work, we analyzed a Dirichlet boundary control problem for an elliptic convection diffusion PDE and proposed a new hybridizable discontinuous Galerkin (HD…
Convergence of -norm based adaptive finite element method for elliptic optimal control problems
Wei Gong, Ningning Yan, Zhaojie Zhou
This paper aims to study the convergence of adaptive finite element method for control constrained elliptic optimal control problems under -norm. We prove the contraction prop…
Adaptive finite element method for elliptic optimal control problems: convergence and optimality
Wei Gong, Ningning Yan
In this paper we consider the convergence analysis of adaptive finite element method for elliptic optimal control problems with pointwise control constraints. We use variational di…
A multilevel correction method for optimal controls of elliptic equation
Wei Gong, Hehu Xie, Ningning Yan
We propose in this paper a multilevel correction method to solve optimal control problems constrained by elliptic equations with the finite element method. In this scheme, solving…
A finite element method for Dirichlet boundary control problems governed by parabolic PDEs
Wei Gong, Michael Hinze, Zhaojie Zhou
Finite element approximations of Dirichlet boundary control problems governed by parabolic PDEs on convex polygonal domains are studied in this paper. The existence of a unique sol…