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Геометрия и топология
On semi-implicit numerical method for surface diffusion equation for triangulated surfaces
Yu. D. Efremenko Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
Аннотация:
We propose a semi-implicit numerical approach to computation of solutions to the surface diffusion equation for triangulated surfaces. In addition, an algorithm of re-triangulation of surfaces was developed to handle singularities that appear during surface evolution. A number of numerical solutions for different initial surfaces is presented.
Ключевые слова:
surface diffusion equation, triangulated surface, semi-implicit numerical methods.
Поступила 24 апреля 2021 г., опубликована 24 ноября 2021 г.
Образец цитирования:
Yu. D. Efremenko, “On semi-implicit numerical method for surface diffusion equation for triangulated surfaces”, Сиб. электрон. матем. изв., 18:2 (2021), 1367–1389
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr1445 https://www.mathnet.ru/rus/semr/v18/i2/p1367
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