arXiv
Open Access
2022
Numerical surgery for mean curvature flow of surfaces
Balázs Kovács
Abstrak
A numerical algorithm for mean curvature flow of closed mean convex surfaces with surgery is proposed. The method uses a finite element based mean curvature flow algorithm based on a coupled partial differential equation system which directly provides an approximation for mean curvature and outward unit normal. The proposed numerical surgery process closely follows the analytical surgery of Huisken \& Sinestrari, and Brendle \& Huisken. The numerical surgery approach is described in detail, along with extensions to other geometric flows and methods. Numerical experiments report on the performance of the numerical surgery process.
Topik & Kata Kunci
Penulis (1)
B
Balázs Kovács
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
- Bahasa
- en
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- arXiv
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- Open Access ✓