8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.NA2026
A mesh- and horizon-robust preconditioner for finite element discretizations of volume-constrained nonlocal diffusion problems
Jiashu Lu, Yufeng Nie, Haolun Zhang +1
In this paper, we develop a preconditioner that is robust with respect to both the mesh size and the interaction horizon for finite element discretizations of volume-constrained no…
math.NA2026
A nonlocal nonlinear Schrödinger model: well-posedness, local limit, and structure-preserving asymptotically compatible Fourier approximations
Jiashu Lu, Yufeng Nie, Xinning Xie +1
In this paper, we introduce a nonlocal nonlinear Schrödinger (NLS) model on periodic domains, and establish its well-posedness, conservation laws, local limit, dispersion propertie…
math.NA2022★ 8 cited
Convergence analysis of Jacobi spectral collocation methods for weakly singular nonlocal diffusion equations with volume constraints
Jiashu Lu, Mengna Yang, Yufeng Nie
This paper considers efficient spectral solutions for weakly singular nonlocal diffusion equations with Dirichlet-type volume constraints. The equation we consider contains an inte…