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math.OC2024
A novel shape optimization approach for source identification in elliptic equations
Wei Gong, Ziyi Zhang
In this paper, we propose a novel shape optimization approach for the source identification of elliptic equations. This identification problem arises from two application backgroun…
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.OC2014★ 4 cited
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…