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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.NA2025
A kernel-free boundary integral method for elliptic interface problems on surfaces
Pengsong Yin, Wenjun YIng, Yulin Zhang +1
This work presents a generalized boundary integral method for elliptic equations on surfaces, encompassing both boundary value and interface problems. The method is kernel-free, im…
math.NA2025
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…