2 citations · 3 across the 7 of their papers we have counts for
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Arbitrarily High-Order Structure-Preserving Parametric Finite Element Methods for Geometric PDEs via Local Pullback Flow Maps
Weizhu Bao, Yifei Li, Dongmin Wang
We develop arbitrarily high-order structure-preserving parametric finite element methods for geometric PDEs including surface diffusion and volume-preserving mean curvature flow ba…
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…
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 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 Stabilized Parametric Finite Element Method for Surface Diffusion with an Arbitrary Surface Energy
Yulin Zhang, Yifei Li, Wenjun Ying
We proposed a structure-preserving stabilized parametric finite element method (SPFEM) for the evolution of closed curves under anisotropic surface diffusion with an arbitrary surf…
An energy-stable parametric finite element method for the planar Willmore flow
Weizhu Bao, Yifei Li
We propose an energy-stable parametric finite element method (PFEM) for the planar Willmore flow and establish its unconditional energy stability of the full discretization scheme.…
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…
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves
Weizhu Bao, Wei Jiang, Yifei Li
We deal with a long-standing problem about how to design an energy-stable numerical scheme for solving the motion of a closed curve under {\sl anisotropic surface diffusion} with a…