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Title: Wave-type threshold dynamics and the hyperbolic mean curvature flow
Authors: Ginder, Elliott
Svadlenka, Karel  kyouindb  KAKEN_id
Keywords: Hyperbolic curvature flow
Interfacial dynamics
Approximation method
Issue Date: Jul-2016
Publisher: Springer Japan
Journal title: Japan Journal of Industrial and Applied Mathematics
Volume: 33
Issue: 2
Start page: 501
End page: 523
Abstract: 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.
Rights: This is a post-peer-review, pre-copyedit version of an article published in 'Japan Journal of Industrial and Applied Mathematics'. The final authenticated version is available online at: http://dx.doi.org/10.1007/s13160-016-0221-0.
The full-text file will be made open to the public on 1 July 2017 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/230209
DOI(Published Version): 10.1007/s13160-016-0221-0
Appears in Collections:Journal Articles

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