A minimizing movements approach for crystalline eikonal-curvature flows of spirals
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915230645223424 |
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| author | Ohtsuka, Takeshi Tsai, Yen-Hsi Richard |
| author_facet | Ohtsuka, Takeshi Tsai, Yen-Hsi Richard |
| contents | We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing movement approach and relies on a special level set method for embedding the spirals. We present numerical simulations and comparisons demonstrating the efficacy of the proposed numerical algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16421 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A minimizing movements approach for crystalline eikonal-curvature flows of spirals Ohtsuka, Takeshi Tsai, Yen-Hsi Richard Numerical Analysis 35K65, 53E10, 65M06, 65K10, 53A04 We propose an algorithm for evolving spiral curves on a planar domain by normal velocities depending on the so-called crystalline curvatures. The algorithm uses a minimizing movement approach and relies on a special level set method for embedding the spirals. We present numerical simulations and comparisons demonstrating the efficacy of the proposed numerical algorithm. |
| title | A minimizing movements approach for crystalline eikonal-curvature flows of spirals |
| topic | Numerical Analysis 35K65, 53E10, 65M06, 65K10, 53A04 |
| url | https://arxiv.org/abs/2409.16421 |