2 papers
math.NA2025
Asymptotic Compatibility of the Approximate-Ball Finite Element Method for 2D Nonlocal Poisson Problem with Neumann Boundary Conditions
Yuchen Shi, Jihong Wang, Jiwei Zhang
In this paper, asymptotic compatibility error estimates of a finite element discretization is presented for 2D nonlocal Poisson problems with Neumann boundary conditions. To this e…
math.NA2024
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods
Qiang Du, Hehu Xie, Xiaobo Yin +1
We study the asymptotic error between the finite element solutions of nonlocal models with a bounded interaction neighborhood and the exact solution of the limiting local model. Th…