Wave-type threshold dynamics and the hyperbolic mean curvature flow

We introduce a method for computing interfacial motions governed by curvature dependent acceleration. Our method is a thresholding algorithm of the BMO-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 an investigation of the volume preserving and multiphase motions

自由境界を含む体積保存条件つき発展問題の解析と数値計算

金沢大学大学院自然科学研究科金沢大学大学院自然科学研究科博士論文, 133p.取得学位:博士（理学）,授与番号:自博甲第966号,授与年月日:2008年3月22日,授与大学:金沢大学,論文主査:小俣, 正

Mathematical analysis and numerical computation of volume-constrained evolutionary problems, involving free boundaries

取得学位：博士(理学)，学位授与番号：博甲第966号，学位授与年月日：平成20年3月22

Generalization of a numerical scheme for curvature driven interface motion

[第20回計算工学講演会] 主催: (社)日本計算工学会, 日時: 2015年6月8日(月) - 6月10日(水), 会場: つくば国際会議場In this article, we report on methods of generalizing the so-called BMO algorithm approximating the mean curvature flow of interfaces for various types of more complex interfacial motions. In particular, we consider the flow with the constraint on volume, the motion of interface networks with junctions and inclusion of oscillations