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Numerical methods and programming, 2022, Volume 23, Issue 2, Pages 95–116
DOI: https://doi.org/10.26089/NumMet.v23r207 (Mi vmp1052) 		 
Methods and algorithms of computational mathematics and their applications

Algorithm of numerical modelling of the surface diffusion flow for periodic triangulated surfaces

Yu. D. Efremenko

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (9580 kB)
DOI: https://doi.org/10.26089/NumMet.v23r207
Abstract: The algorithm of numerical modelling of the surface diffusion flow for periodic triangulated initial surface is proposed in the paper. To process the singularities that appear during computations the algorithms of retriangulation were developed. The cases of singularity inside of the cube containing the surface, on it's face, edge and corner were considered. The work of the algorithm is illustrated with several examples.
Keywords: numerical methods, surface diffusion, triangulation, topology changes, retriangulation algorithms,, mean curvature.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1675
The work is supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and Higher Education of the Russian Federation N 075–15–2019–1675.
Received: 30.03.2022
Accepted: 14.05.2022
Document Type: Article
UDC: 514.8
Language: Russian
Citation: Yu. D. Efremenko, “Algorithm of numerical modelling of the surface diffusion flow for periodic triangulated surfaces”, Num. Meth. Prog., 23:2 (2022), 95–116
Citation in format AMSBIB
\Bibitem{Efr22}
\by Yu.~D.~Efremenko
\paper Algorithm of numerical modelling of the surface diffusion flow for periodic triangulated surfaces
\jour Num. Meth. Prog.
\yr 2022
\vol 23
\issue 2
\pages 95--116
\mathnet{http://mi.mathnet.ru/vmp1052}
\crossref{https://doi.org/10.26089/NumMet.v23r207}
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