5 citations · 12 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
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…
Explicit and efficient error estimation for convex minimization problems
Sören Bartels, Alex Kaltenbach
We combine a systematic approach for deriving general a posteriori error estimates for convex minimization problems based on convex duality relations with a recently derived genera…
Computing confined elasticae
Sören Bartels, Pascal Weyer
A numerical scheme for computing arc-length parametrized curves of low bending energy that are confined to convex domains is devised. The convergence of the discrete formulations t…
A nonlinear bending theory for nematic LCE plates
Sören Bartels, Max Griehl, Stefan Neukamm +2
In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the b…
Error estimates for total-variation regularized minimization problems with singular dual solutions
Alex Kaltenbach, Sören Bartels
Recent quasi-optimal error estimates for the finite element approximation of total-variation regularized minimization problems using the Crouzeix--Raviart finite element require th…