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.
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Funding
This work was performed using facilities of the Center for collective use of high-performance computing resources at Lomonosov Moscow State University. The authors are also grateful to the Center for Information Technology at the University of Groningen (Netherlands) for the opportunity to carry out the computations.
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Translated by I. Ruzanova
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Kriksin, Y.A., Tishkin, V.F. On One Approach to the Estimation of a Triangular Element Degeneration in a Triangulation. Dokl. Math. 107, 126–129 (2023). https://doi.org/10.1134/S106456242370076X
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DOI: https://doi.org/10.1134/S106456242370076X