2 papers
math.NA2026
A Fourth-Order Cut-cell Multigrid Method for Solving Elliptic Equations on Arbitrary Domains
Jiyu Liu, Zhixuan Li, Jiatu Yan +2
To numerically solve a generic elliptic equation on two-dimensional domains with rectangular Cartesian grids, we propose a cut-cell geometric multigrid method that features (1) gen…
math.NA2025
A fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries
Kaiyi Liang, Yuke Zhu, Jiyu Liu +1
We propose a fourth-order cut-cell method for solving the two-dimensional advection-diffusion equation with moving boundaries on a Cartesian grid. We employ the ARMS technique to g…