|
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
| 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
|
