3 papers
math.NA2026
A structure--preserving ALE--BGN--MDR method for Navier--Stokes free boundary problems with moving contact lines and gravity
Harald Garcke, Jiashun Hu, Nuo Lei
We propose a gravity-consistent arbitrary Lagrangian--Eulerian finite element method for incompressible Navier--Stokes free-boundary problems with moving contact lines. A direct bo…
math.NA2025
p-multigrid method for the discontinuous Galerkin discretization of elliptic problems
Nuo Lei, Donghang Zhang, Weiying Zheng
In this paper, we propose a -cycle -multigrid method for solving the -version symmetric interior penalty discontinuous Galerkin (SIPDG) discretization of elliptic problems…
math.NA2025
A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells
Nuo Lei, Juan Cheng, Chi-Wang Shu
This paper presents a novel intersection-based remapping method for isoparametric curvilinear meshes within the indirect arbitrary Lagrangian-Eulerian (ALE) framework, addressing t…