2 papers
math.NA2025
An Efficient Finite Element Method for Multi-dimensional Nonlocal Laplacian on Uniform Grids
Changtao Sheng, Huiyuan Li, Huifang Yuan +1
Computing the stiffness matrix for the finite element discretization of the nonlocal Laplacian on unstructured meshes is difficult, because the operator is nonlocal and can even be…
math.NA2024
FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension
Hongbin Chen, Changtao Sheng, Li-Lian Wang
In this paper, we compute stiffness matrix of the nonlocal Laplacian discretized by the piecewise linear finite element on nonuniform meshes, and implement the FEM in the Fourier t…