On Extremal Property of the Sum of Cotangents and Its Applications in Mathematical Physics
- 作者: Sukiasyan H.1
-
隶属关系:
- Institute of Mathematics
- 期: 卷 40, 编号 8 (2019)
- 页面: 1137-1140
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205265
- DOI: https://doi.org/10.1134/S1995080219080225
- ID: 205265
如何引用文章
详细
For any mesh of triangles with fixed set of vertices we prove: the sum of cotangents of interior angles reaches his minimum for Delaunay triangulation. Using this extremal property, we obtain that for numerical solution of Maxwell equation of magnetic field the optimal mesh is Delaunay triangulation.
作者简介
H. Sukiasyan
Institute of Mathematics
编辑信件的主要联系方式.
Email: haik@instmath.sci.am
亚美尼亚, Yerevan, 0019