4 papers
A unified structure-preserving framework for geometric flows with coupled orientation and curvature dependence
Yulin Zhang
We develop a structure-preserving parametric finite element framework for geometric flows whose energy density couples the unit normal and the curvature. This class includes bendin…
Kernel-free Boundary Integral Methods for Allen-Cahn and Cahn-Hilliard Equations on Irregular Domains
Xinru Liu, Pensong Yin, Wenjun Ying +1
A unified kernel-free boundary integral (KFBI) framework is proposed for the Allen-Cahn and Cahn Hilliard equations with homogeneous no-flux boundary conditions on two- and three-d…
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…
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…