An unconditionally stable finite element scheme for anisotropic curve shortening flow
Numerical Analysis
2023-03-01 v2 Numerical Analysis
Abstract
Based on a recent novel formulation of parametric anisotropic curve shortening flow, we analyse a fully discrete numerical method of this geometric evolution equation. The method uses piecewise linear finite elements in space and a backward Euler approximation in time. We establish existence and uniqueness of a discrete solution, as well as an unconditional stability property. Some numerical computations confirm the theoretical results and demonstrate the practicality of our method.
Keywords
Cite
@article{arxiv.2209.06565,
title = {An unconditionally stable finite element scheme for anisotropic curve shortening flow},
author = {Klaus Deckelnick and Robert Nürnberg},
journal= {arXiv preprint arXiv:2209.06565},
year = {2023}
}
Comments
13 pages, 4 figures