3 papers
math.NA2026
A high-order Newton multigrid method with a simplified Jacobian for steady-state shallow water equations
Zhicheng Hu, Guanghan Li, Chunwu Wang +1
A high-order Newton multigrid method is proposed for steady-state shallow water flows in open channels with regular and irregular geometries. The method integrates a finite volume…
math.NA2026
A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
Mingzhe Li, Yang Kuang, Zhicheng Hu
It is found that the wave functions of the Gross-Pitaevskii equation (GPE) often vary significantly in different spatial regions, with some components exhibiting sharp variations w…
math.NA2025
A novel fast iterative moment method for near-continuum flows
Guanghan Li, Chunwu Wang, Zhicheng Hu
We develop a novel fast iterative moment method for the steady-state simulation of near-continuum flows, which are modeled by the high-order moment system derived from the Boltzman…