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Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 2, Pages 301–312 (Mi zvmmf10837)  

Simulation of mean curvature flows on surfaces of revolution

R. Yu. Pepa

Moscow State University, Moscow, 119992 Russia

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).


DOI: https://doi.org/10.1134/S0044466919020133


English version:
Computational Mathematics and Mathematical Physics, 2019, 59:2, 290–300

Bibliographic databases:

UDC: 519.65
Received: 12.04.2018

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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