https://neckpinch.com/authors/jakob-fuchs/New arXiv papers by Jakob Fuchs, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2201.00413/arxiv:2201.00413Sun, 02 Jan 2022 00:00:00 GMTJakob Fuchs, Tim Laux — In this work, we analyze Merriman, Bence and Osher's thresholding scheme, a time discretization for mean curvature flow. We restrict to the two-phase setting and mean convex initial conditions. In the sense of the minimizing movements interpretation of Esedoglu and Otto we show the time-integrated energy of the approximation to converge to the time-integrated energy of the limit. As a corollary, the conditional convergence results of Otto and one of the authors become unconditional in the two-phase mean convex case. Our results are general enough to handle the extension of the scheme to anisotropic flows for which a non-negative kernel can be chosen.Mean curvature flowAnisotropic & nonlocal flowsWeak & singular flowsPhase fields & multiphase flows