2 papers
math.NA2026
A minimizing-movement framework for geometric gradient flows with admissible tangential motion
Xiaoxiao Liu, Quan Zhao
We develop a minimizing-movement framework for parametric finite element approximations of geometric gradient flows with admissible tangential motion. At each time step, the discre…
math.NA2026
Geometric structure-preserving parametric finite element approximations for the constrained Helfrich flow
Xiaoxiao Liu, Quan Zhao
We propose a structure-preserving parametric finite element method for the constrained Helfrich flow of closed curves and surfaces. The proposed method is based on a two-stage velo…