4 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…
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…
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…
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…