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An improvement of level set equations via approximation of a distance function

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この文献には次のDOIがあります:http://doi.org/10.14943/81742

タイトル: An improvement of level set equations via approximation of a distance function
著者: Hamamuki, Nao 著作を一覧する
キーワード: level set method
improved level set equations
signed distance function
viscosity solutions
発行日: 2018年 2月 2日
出版者: Department of Mathematics, Hokkaido University
誌名: Hokkaido University Preprint Series in Mathematics
巻: 1108
開始ページ: 1
終了ページ: 16
抄録: In the classical level set method, the slope of solutions can be very small or large, and it can make it difficult to get the precise level set numerically. In this paper, we introduce an improved level set equation whose solutions are close to the signed distance function to evolving interfaces. The improved equation is derived via approximation of the evolution equation for the distance function. Applying the comparison principle, we give an upper- and lower bound near the zero level set for the viscosity solution to the initial value problem.
記述: Mathematics Subject Classification 2010: 35D40; 35F21; 35F25
資料タイプ: bulletin (article)
URI: http://hdl.handle.net/2115/68267
出現コレクション:Hokkaido University Preprint Series in Mathematics

提供者: 数学紀要登録作業用

 

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