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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 2, Pages 301–312
DOI: https://doi.org/10.1134/S0044466919020133 (Mi zvmmf10837) 		 
Simulation of mean curvature flows on surfaces of revolution

R. Yu. Pepa

Moscow State University, Moscow, 119992 Russia
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DOI: https://doi.org/10.1134/S0044466919020133
Abstract: This paper is devoted to the simulation of the mean curvature flow on a surface of revolution. The surface is discretized using the icosahedral decomposition, and the flow equation is discretized by the finite element method. The scheme stability is improved using spline interpolation.
Key words: mean curvature flow, finite element method, spline interpolation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6399.2018.1
Russian Foundation for Basic Research 16-01-00378
This work was supported by the program “Leading Scientific Schools” (project no. NSh-6399.2018.1, agreement no. 075-02-2018-867) and by the Russian Foundation for Basic Research (project no. 16-01-00378-a).
Received: 12.04.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 290–300
DOI: https://doi.org/10.1134/S0965542519020131
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: R. Yu. Pepa, “Simulation of mean curvature flows on surfaces of revolution”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 301–312; Comput. Math. Math. Phys., 59:2 (2019), 290–300
Citation in format AMSBIB
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