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arXiv · 1909.13511

Fast and Stable Schemes for Phase Fields Models

Matthieu Brachet·Jean-Paul Chehab
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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.

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Matthieu Brachet, Jean-Paul Chehab. 2019-09-30. Fast and Stable Schemes for Phase Fields Models. https://arxiv.org/abs/1909.13511

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