2 papers
math.NA2025
Local discontinuous Galerkin method for the integral fractional Laplacian
Rubing Han, Shuonan Wu, Hao Zhou
We develop and analyze a local discontinuous Galerkin (LDG) method for solving integral fractional Laplacian problems on bounded Lipschitz domains. The method is based on a three-f…
math.NA2021
A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under Hölder regularity
Rubing Han, Shuonan Wu
We propose a monotone discretization for the integral fractional Laplace equation on bounded Lipschitz domains with the homogeneous Dirichlet boundary condition. The method is insp…