3 papers
math.NA2025
A structure-preserving parametric approximation for anisotropic geometric flows via an -surface energy matrix
Weizhu Bao, Yifei Li, Wenjun Ying +1
We propose a structure-preserving parametric approximation for geometric flows with general anisotropic effects. By introducing a hyperparameter , we construct a unified surface…
math.NA2024
A structure-preserving parametric finite element method for solid-state dewetting on curved substrates
Weizhu Bao, Yifei Li, Quan Zhao
We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface a…
cond-mat.mtrl-sci2024
Dynamics of Small Solid Particles on Substrates of Arbitrary Topography
Quan Zhao, Wei Jiang, Yan Wang +3
We study the dynamics of a small solid particle arising from the dewetting of a thin film on a curved substrate driven by capillarity, where mass transport is controlled by surface…