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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 4, Pages 345–358
DOI: https://doi.org/10.15372/SJNM20170401 (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
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DOI: https://doi.org/10.15372/SJNM20170401
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.
Funding agency Grant number
Russian Science Foundation 15-11-10024
Received: 22.12.2016
Revised: 17.02.2017
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 4, Pages 287–298
DOI: https://doi.org/10.1134%2FS1995423917040012
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: K. V. Voronin, Yu. M. Laevsky, “The flux predictor-corrector scheme for solving a 3D heat transfer problem”, Sib. Zh. Vychisl. Mat., 20:4 (2017), 345–358; Num. Anal. Appl., 10:4 (2017), 287–298
Citation in format AMSBIB
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\by K.~V.~Voronin, Yu.~M.~Laevsky
\paper The flux predictor-corrector scheme for solving a~3D heat transfer problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2017
\vol 20
\issue 4
\pages 345--358
\mathnet{http://mi.mathnet.ru/sjvm656}
\crossref{https://doi.org/10.15372/SJNM20170401}
\elib{https://elibrary.ru/item.asp?id=30564534}
\transl
\jour Num. Anal. Appl.
\yr 2017
\vol 10
\issue 4
\pages 287--298
\crossref{https://doi.org/10.1134%2FS1995423917040012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042689304}
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