HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

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

Files in This Item:
document_20180202.pdf1.63 MBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/81742

Title: An improvement of level set equations via approximation of a distance function
Authors: Hamamuki, Nao1 Browse this author
Authors(alt): 浜向, 直1
Keywords: level set method
improved level set equations
signed distance function
viscosity solutions
Issue Date: 2-Feb-2018
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1108
Start Page: 1
End Page: 16
Abstract: 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.
Description: Mathematics Subject Classification 2010: 35D40; 35F21; 35F25
Type: bulletin (article)
URI: http://hdl.handle.net/2115/68267
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University