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
GePUP-ES: High-order Energy-stable Projection Methods for the Incompressible Navier-Stokes Equations with No-slip Conditions
Yang Li, Xu Wu, Jiatu Yan +3
Inspired by the unconstrained PPE (UPPE) formulation [Liu, Liu, & Pego 2007 Comm. Pure Appl. Math., 60 pp. 1443], we previously proposed the GePUP formulation [Zhang 2016 J. Sci. C…