4 papers · 1 filter
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…
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 gov…
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…
Error estimates for a surface finite element method for anisotropic mean curvature flow
Klaus Deckelnick, Harald Garcke, Balázs Kovács
Error estimates are proved for an evolving surface finite element semi-discretization for anisotropic mean curvature flow of closed surfaces. For the geometric surface flow, a syst…