6 papers
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 Correction Function-based KFBI Method for Brinkman Interface Problems
Han Zhou, Wenjun Ying
In this work, we propose a correction-function-based kernel-free boundary integral (CF-KFBI) method for solving Stokes- and Brinkman-type interface problems. We begin by recasting…
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…
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 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…