4 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…
A -Based Semi-Smooth Newton Method for Convex Variational Problems
Sören Bartels, Alex Kaltenbach
In this paper, we devise a -based semi-smooth Newton method that is applicable to a finite element discretization of a broad class of nonsmooth convex variatio…
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
Georgios Akrivis, Sören Bartels, Michele Ruggeri +1
We construct and analyze a projection-free linearly implicit method for the approximation of flows of harmonic maps into spheres. The proposed method is unconditionally energy stab…
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…