25 citations · 50 across the 29 of their papers we have counts for
34 papers
Self-avoiding fluid deformable surfaces
Maik Porrmann, Sören Bartels, Axel Voigt
We propose a numerical method for fluid deformable surfaces governed by surface Stokes flow and Helfrich bending energy under active growth, aiming to model shape evolution of the…
Numerical simulation of a fine-tunable Föppl-von Kármán model for foldable and bilayer plates
Sören Bartels, Bernd Schmidt, Philipp Tscherner
A numerical scheme is proposed to identify low energy configurations of a Föppl-von Kármán model for bilayer plates. The dependency of the corresponding elastic energy on the in-pl…
Quasi-optimal error estimates for the approximation of stable harmonic maps
Sören Bartels, Christian Palus, Zhangxian Wang
Based on a quantitative version of the inverse function theorem and an appropriate saddle-point formulation we derive a quasi-optimal error estimate for the finite element approxim…
Benchmarking Numerical Algorithms for Harmonic Maps into the Sphere
Sören Bartels, Klaus Böhnlein, Christian Palus +1
We numerically benchmark methods for computing harmonic maps into the unit sphere, with particular focus on harmonic maps with singularities. For the discretization we compare two…
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints
Sören Bartels, Balázs Kovács, Zhangxian Wang
An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of…
Modeling and simulation of nematic LCE rods
Sören Bartels, Max Griehl, Jakob Keck +1
We introduce a nonlinear, one-dimensional bending-twisting model for an inextensible bi-rod that is composed of a nematic liquid crystal elastomer. The model combines an elastic en…