On Extremal Property of the Sum of Cotangents and Its Applications in Mathematical Physics
H. S. Sukiasyan · Lobachevskii Journal of Mathematics · 2019
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.