35 citations · 151 across the 24 of their papers we have counts for
4 papers · 2 filters
Discrete anisotropic curve shortening flow in higher codimension
Klaus Deckelnick, Robert Nürnberg
We introduce a novel formulation for the evolution of parametric curves by anisotropic curve shortening flow in , . The reformulation hinges on a suitable ma…
A structure-preserving finite element method for the multi-phase Mullins-Sekerka problem with triple junctions
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
We consider a sharp interface formulation for the multi-phase Mullins-Sekerka flow. The flow is characterized by a network of curves evolving such that the total surface energy of…
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We analyze numerical approximations for axisymmetric two-phase flow in the arbitrary Lagrangian-Eulerian (ALE) framework. We consider a parametric formulation for the evolving flui…
Unfitted finite element methods for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier--Stokes flow in an axisymmetric setting. The discretized schemes are based on…