3 papers
math.NA2026
A convergent finite element method for two-phase Stokes flow driven by surface tension
Genming Bai, Harald Garcke, Shravan Veerapaneni
We present the first convergence proof for an iso-parametric finite element discretization of two-phase Stokes flow in , , with interface dynamics go…
math.NA2026
A spherical harmonic pseudo-spectral approach to mean curvature flow of surfaces with spherical topology
Genming Bai
We propose and analyze a spherical harmonic pseudo-spectral method for the mean curvature flow of closed surfaces with spherical topology. The evolving surface is represented by a…
math.NA2026
Convergence analysis for the Barrett--Garcke--Nurnberg method of transport type for evolving curves
Genming Bai, Harald Garcke, Shravan Veerapaneni
In this paper, we propose a Barrett-Garcke-Nurnberg (BGN) method for evolving geometries under general flows and present the corresponding convergence analysis. Specifically, we ex…