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Hokkaido University Preprint Series in Mathematics >
NUMERICAL ANALYSIS COMPARING ODE APPROACH AND LEVEL SET METHOD FOR EVOLVING SPIRALS BY CRYSTALLINE EIKONAL-CURVATURE FLOW
| Title: | NUMERICAL ANALYSIS COMPARING ODE APPROACH AND LEVEL SET METHOD FOR EVOLVING SPIRALS BY CRYSTALLINE EIKONAL-CURVATURE FLOW |
| Authors: | Ishiwata, Tetsuya Browse this author | | Ohtsuka, Takeshi Browse this author |
| Issue Date: | 28-Jan-2019 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1121 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | In this paper, the evolution of a polygonal spiral curve by the crystalline curvature flow with a pinned center is considered with two view points, discrete model consist of an ODE system of facet lengths and a level set method. We investigate the difference of these models numerically by calculating the area of the region enclosed by these spiral curves. The area difference is calculated by the normalized L1 norm of the difference of step-like functions which are branches of argx whose discontinuities are only on the spirals. We find the differences of the numerical results considered in this paper are very small even though the evolution laws of these models around the center and the farthest facet are slightly different. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/72381 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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