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ON ONE APPROACH TO THE ASSESSMENT OF A TRIANGULAR ELEMENT DEGENERATION IN A TRIANGULATION
- Authors: Kriksin Y.A.1, Tishkin V.F.1
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Affiliations:
- Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
- Issue: Vol 510, No 1 (2023)
- Pages: 52-56
- Section: MATHEMATICS
- URL: https://jdigitaldiagnostics.com/2686-9543/article/view/647889
- DOI: https://doi.org/10.31857/S2686954323600088
- EDN: https://elibrary.ru/XHXMGF
- ID: 647889
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Abstract
A quantitative estimate of a triangular element quality is proposed - the triangle degeneration index. To apply this estimate, the simplest model triangulation is constructed, in which the coordinates of the nodes are formed as the sum of the corresponding coordinates of the nodes of some given regular grid and random increments to them. For different values of the parameters, the empirical distribution function of the triangle degeneration index is calculated, which is considered as a quantitative characteristic of the quality of triangular elements in the constructed triangulation.
About the authors
Yu. A. Kriksin
Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
Author for correspondence.
Email: kriksin@imamod.ru
Russia, Moscow
V. F. Tishkin
Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
Author for correspondence.
Email: v.f.tishkin@mail.ru
Russia, Moscow
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