Wave-type threshold dynamics and the hyperbolic mean curvature flow

被引:0
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作者
Elliott Ginder
Karel Svadlenka
机构
[1] Hokkaido University,Research Institute for Electronic Science
[2] Kyoto University,Department of Mathematics
关键词
Hyperbolic curvature flow; Interfacial dynamics; Approximation method; 35L; 14J70; 53C44; 74S;
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学科分类号
摘要
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.
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页码:501 / 523
页数:22
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