5 papers
An energy-stable parametric finite element method for the Willmore flow in three dimensions
Weizhu Bao, Yifei Li, Dongmin Wang
This work develops novel energy-stable parametric finite element methods (ES-PFEM) for the Willmore flow and curvature-dependent geometric gradient flows of surfaces in three dimen…
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 surfac…
A structure-preserving parametric finite element method with optimal energy stability condition for anisotropic surface diffusion
Yifei Li, Wenjun Ying, Yulin Zhang
We propose and analyze a structure-preserving parametric finite element method (SP-PFEM) for the evolution of closed curves under anisotropic surface diffusion with surface energy…
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…
A unified structure-preserving parametric finite element method for anisotropic surface diffusion
Weizhu Bao, Yifei Li
We propose and analyze a unified structure-preserving parametric finite element method (SP-PFEM) for the anisotropic surface diffusion of curves in two dimensions and surfa…