Showing math.NAShow all
3 papers · 1 filter
math.NA2026
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…
math.NA2024
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…
math.NA2024
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…