3 papers
math.NA2025
When surface evolution meets Fokker-Planck equation: a novel tangential velocity model for uniform parametrization
Jiangong Pan, Guozhi Dong, Hailong Guo +1
A common issue in simulating geometric evolution of surfaces is unexpected clustering of points that may cause numerical instability. We propose a novel artificial tangential veloc…
math.NA2024
BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization
Guozhi Dong, Zikang Gong, Ziqing Xie +1
We propose novel algorithms combining accelerated gradient flows with linearized projection-free treatments of non-convex constraints and BDF pseudo-temporal discretization for qua…
math.NA2024
Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces
Guozhi Dong, Hailong Guo, Chengrun Jiang +1
A gradient enhanced ADMM algorithm for optimal transport on general surfaces is proposed in this paper. Based on Benamou and Brenier's dynamical formulation, we combine gradient re…