ON ONE APPROACH TO THE ASSESSMENT OF A TRIANGULAR ELEMENT DEGENERATION IN A TRIANGULATION

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Аннотация

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.

Авторлар туралы

Yu. Kriksin

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences

Хат алмасуға жауапты Автор.
Email: kriksin@imamod.ru
Russia, Moscow

V. Tishkin

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences

Хат алмасуға жауапты Автор.
Email: v.f.tishkin@mail.ru
Russia, Moscow

Әдебиет тізімі

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© Ю.А. Криксин, В.Ф. Тишкин, 2023