Wave-type threshold dynamics and the hyperbolic mean curvature flow

Wave-type threshold dynamics and the hyperbolic mean curvature flow
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DOI:
10.1007/s13160-016-0221-0
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发表时间:
2015-05
影响因子:
0.9
通讯作者:
E. Ginder;Karel Svadlenka
E. Ginder;Karel Svadlenka
中科院分区:
数学4区
文献类型:
--
作者:
E. Ginder;Karel Svadlenka

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我们介绍了一种方法来计算界面运动的曲率依赖加速度。我们的方法是一个阈值算法的MBO型,而不是利用扩散过程,阈值演化的波动方程,以获得所需的界面动力学。我们还开发了数值方法和目前的应用结果,包括体积保持和多相运动的调查。
We introduce a method for computing interfacial motions governed by curvature dependent acceleration. Our method is a thresholding algorithm of the MBO-type which, instead of utilizing a diffusion process, thresholds evolution by the wave equation to obtain the desired interfacial dynamics. We also develop the numerical method and present results of its application, including investigations of volume preserving and multiphase motions.