1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes
Haifan Chen, Guozhi Dong, José A. Iglesias +2
This paper contributes to the exploration of a recently introduced computational paradigm known as second-order flows, which are characterized by novel dissipative hyperbolic parti…
Accelerated gradient flows for large bending deformations of nonlinear plates
Guozhi Dong, Hailong Guo, Shuo Yang
In this paper, we propose novel algorithms integrated projection-free techniques with accelerated gradient flows to minimize bending energies for nonlinear plates with non-convex m…