3 papers
math.NA2026
An unfitted finite element method for PDE-constrained shape optimization via shape gradient flow
Wei Gong, Chuwen Ma, Ziyi Zhang
In this paper, we propose an unfitted finite element method to solve PDE-constrained shape optimization problems via shape gradient flow. The shape gradient flow system consists of…
math.NA2025
Bioluminescence tomography via a shape optimization method based on a complex-valued model
Qianqian Wu, Rongfang Gong, Wei Gong +2
In this study, we investigate the inverse source problem arising in bioluminescence tomography, the objective of which is to reconstruct both the support and the intensity of an in…
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…