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Fast and stable schemes for Phase Fields models
Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2020-08-22 , DOI: 10.1016/j.camwa.2020.07.015
Matthieu Brachet , Jean-Paul Chehab

We propose and analyze 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 significantly 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.



中文翻译:

相场模型的快速稳定方案

当在空间中使用高阶有限差分紧凑格式离散时,我们为相场模型(例如Allen-Cahn和Cahn-Hillard方程)提出并分析了新的稳定时间行进方案。稳定适用于半隐式方案,其中使用稀疏预处理器简化了线性部分。新方法可以显着增加CPU时间。在二维和三维情况下,我们给出的数字插图涉及图案动力学和图像处理(修复,分割)方面的应用。

更新日期:2020-08-23
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