تقرير
Numerical surgery for mean curvature flow of surfaces
| العنوان: | Numerical surgery for mean curvature flow of surfaces |
|---|---|
| المؤلفون: | Kovács, Balázs |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 35R01, 53C44, 65M60, 65M15, 65M12 |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2210.14046 |
| رقم الأكسشن: | edsarx.2210.14046 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |