8 citations · 12 across the 7 of their papers we have counts for
7 papers
Minimal horizontal triods: Analysis and computation
Robert Nürnberg, Paola Pozzi
In this article we investigate the question of finding a network configuration of minimal length connecting three given points in the Heisenberg group. After proving existence of (…
Stable fully practical finite element methods for axisymmetric Willmore flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We consider fully discrete numerical approximations for axisymmetric Willmore flow that are unconditionally stable and work reliably without remeshing. We restrict our attention to…
A parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions
Tokuhiro Eto, Harald Garcke, Robert Nürnberg
In this study, we propose a parametric finite element method for a degenerate multi-phase Stefan problem with triple junctions. This model describes the energy-driven motion of a s…
On a Cahn-Hilliard equation for the growth and division of chemically active droplets modeling protocells
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
The Cahn-Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not g…
Second order in time finite element schemes for curve shortening flow and curve diffusion
Klaus Deckelnick, Robert Nürnberg
We prove optimal error bounds for a second order in time finite element approximation of curve shortening flow in possibly higher codimension. In addition, we introduce a second or…
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds
Harald Garcke, Robert Nürnberg
We present variational approximations of boundary value problems for curvature flow (curve shortening flow) and elastic flow (curve straightening flow) in two-dimensional Riemannia…
Fitted front tracking methods for two-phase incompressible Navier--Stokes flow: Eulerian and ALE finite element discretizations
Marco Agnese, Robert Nürnberg
We investigate novel fitted finite element approximations for two-phase Navier--Stokes flow. In particular, we consider both Eulerian and Arbitrary Lagrangian--Eulerian (ALE) finit…