On One Approach to the Estimation of a Triangular Element Degeneration in a Triangulation
Yu. A. Kriksin, Vladimir Fedorovich Tishkin · Doklady Mathematics · 2023
Abstract A quantitative estimate for the quality of a triangular element—the triangle degeneration index—is proposed. To apply this estimate, a simple model triangulation is constructed in which the vertex coordinates are obtained as the sum of the corresponding node coordinates in a given regular grid and their random increments. For various parameter values, the empirical distribution function of the triangle degeneration index is calculated, which is considered a quantitative characteristic of the quality of triangular elements in the constructed triangulation.