1 citations · 2 across the 7 of their papers we have counts for
7 papers
Unconstrained Scheme for Geometrically Constrained Gradient Flows
Sören Bartels, Lucas Bouck, Christian Palus
In this paper, we study the approximation of gradient flows of harmonic maps, which serve as model problems for applications in micromagnetics, liquid crystals, and nonlinear plate…
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
Georgios Akrivis, Sören Bartels, Christian Palus
We devise a projection-free iterative scheme for the approximation of harmonic maps that provides a second-order accuracy of the constraint violation and is unconditionally energy…
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…
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…
Simulating Self-Avoiding Isometric Plate Bending
Sören Bartels, Frank Meyer, Christian Palus
Inspired by recent results on self-avoiding inextensible curves, we propose and experimentally investigate a numerical method for simulating isometric plate bending without self-in…
Stable Gradient Flow Discretizations for Simulating Bilayer Plate Bending with Isometry and Obstacle Constraints
Sören Bartels, Christian Palus
Bilayer plates are compound materials that exhibit large bending deformations when exposed to environmental changes that lead to different mechanical responses in the involved mate…