Fast and Stable Schemes for Phase Fields Models
Numerical Analysis
2019-10-01 v1 Numerical Analysis
Abstract
We propose and analyse new stabilized time marching schemes for Phase Fields model such as Allen-Cahn and Cahn-Hillard equations, when discretized in space with high order finite differences compact schemes. The stabilization applies to semi-implicit schemes for which the linear part is simplified using sparse pre-conditioners. The new methods allow to significant obtain a gain of CPU time. The numerical illustrations we give concern applications on pattern dynamics and on image processing (inpainting, segmentation) in two and three dimension cases.
Cite
@article{arxiv.1909.13511,
title = {Fast and Stable Schemes for Phase Fields Models},
author = {Matthieu Brachet and Jean-Paul Chehab},
journal= {arXiv preprint arXiv:1909.13511},
year = {2019}
}