On the inclusion of damping terms in the hyperbolic MBO algorithm
Numerical Analysis
2019-09-04 v1 Numerical Analysis
Abstract
The hyperbolic MBO is a threshold dynamic algorithm which approximates interfacial motion by hyperbolic mean curvature flow. We introduce a generalization of this algorithm for imparting damping terms onto the equation of motion. We also construct corresponding numerical methods, and perform numerical tests. We also use our results to show that the generalized hyperbolic MBO is able to approximate motion by the standard mean curvature flow.
Cite
@article{arxiv.1909.00552,
title = {On the inclusion of damping terms in the hyperbolic MBO algorithm},
author = {Elliott Ginder and Ayumu Katayama},
journal= {arXiv preprint arXiv:1909.00552},
year = {2019}
}