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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2017 Volume 20, Number 4, Pages 345–358 (Mi sjvm656)

The flux predictor-corrector scheme for solving a 3D heat transfer problem

K. V. Voroninab, Yu. M. Laevskyab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia

Abstract: In this paper we propose and study the flux predictor-corrector scheme in the three-dimensional case. This scheme is depleted of drawbacks of that constructed on the basis of the Douglas–Gunn prototype-scheme. The scheme proposed demonstrates the second order of accuracy.

Key words: mixed finite element method, heat flux, splitting scheme, predictor-corrector scheme.

UDC: 519.63

Received: 22.12.2016
Revised: 17.02.2017

DOI: 10.15372/SJNM20170401


 English version:
Numerical Analysis and Applications, 2017, 10:4, 287–298

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© Steklov Math. Inst. of RAS, 2025