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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

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.

UDC: 519.65

Received: 12.04.2018

DOI: 10.1134/S0044466919020133


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

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© Steklov Math. Inst. of RAS, 2026