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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1367–1389
DOI: https://doi.org/10.33048/semi.2021.18.104 (Mi semr1445) 		 
Geometry and topology

On semi-implicit numerical method for surface diffusion equation for triangulated surfaces

Yu. D. Efremenko

Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.104
Abstract: 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.
Keywords: surface diffusion equation, triangulated surface, semi-implicit numerical methods.
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 High Education of the Russian Federation number 075-15-2019-1675.
Received April 24, 2021, published November 24, 2021
Bibliographic databases:
Document Type: Article
UDC: 514.8
MSC: 53-08
Language: English
Citation: Yu. D. Efremenko, “On semi-implicit numerical method for surface diffusion equation for triangulated surfaces”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1367–1389
Citation in format AMSBIB
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\by Yu.~D.~Efremenko
\paper On semi-implicit numerical method for surface diffusion equation for triangulated surfaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1367--1389
\mathnet{http://mi.mathnet.ru/semr1445}
\crossref{https://doi.org/10.33048/semi.2021.18.104}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000734395000024}
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