2 papers
math.NA2026
A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry
Yan Tan, Yixiao Qian, Zhiqi Li +1
For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) represents the topology and geometry of the interfa…
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…