3 papers
math.AP2025
A seamless local-nonlocal coupling diffusion model with vanishing nonlocality convergence
Yanzun Meng, Zuoqiang Shi
Based on the development in dealing with nonlocal boundary conditions, we propose a seamless local-nonlocal coupling diffusion model in this paper. In our model, a finite constant…
cs.CG2025
Wavelet-based Global Orientation and Surface Reconstruction for Point Clouds
Yueji Ma, Yanzun Meng, Dong Xiao +2
Unoriented surface reconstruction is an important task in computer graphics and has extensive applications. Based on the compact support of wavelet and orthogonality properties, cl…
math.NA2025
Asymptotically Compatible Error Bound of Finite Element Method for Nonlocal Diffusion Model with An Efficient Implementation
Yanzun Meng, Zuoqiang Shi
This paper presents an asymptotically compatible error bound for the finite element method (FEM) applied to a nonlocal diffusion model. The analysis covers two scenarios: meshes wi…