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論文情報

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アクセス権	open access
DOI	https://doi.org/10.14943/81742
URI	https://hdl.handle.net/2115/68267
タイトル	An improvement of level set equations via approximation of a distance function
著者	著者名 Hamamuki, Nao 浜向, 直
言語	英語
キーワード	level set method
	improved level set equations
	signed distance function
	viscosity solutions
発行日	2018-02-02
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1108
ページ	1-16
記述	Mathematics Subject Classification 2010: 35D40; 35F21; 35F25
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.
資源タイプ	紀要論文
出版タイプ	Version of Record

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