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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 2, Pages 135–145
DOI: https://doi.org/10.15372/SJNM20150203
(Mi sjvm572)
 

This article is cited in 6 scientific papers (total in 6 papers)

On the stability of some flux splitting schemes

K. V. Voroninab, Yu. M. Laevskyab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
Full-text PDF (426 kB) Citations (6)
References:
Abstract: In this paper, we investigate the stability of some splitting schemes approximating the equations for a heat flux, obtained by a mixed finite element method. For the two-dimensional problem, the splitting scheme is based on the alternating direction method, and for the three-dimensional problem the splitting scheme is based on the Douglas–Gunn scheme.
Key words: heat transfer, mixed formulation, finite element method, splitting scheme.
Received: 30.07.2014
Revised: 13.08.2014
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 2, Pages 113–121
DOI: https://doi.org/10.1134/S1995423915020032
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: K. V. Voronin, Yu. M. Laevsky, “On the stability of some flux splitting schemes”, Sib. Zh. Vychisl. Mat., 18:2 (2015), 135–145; Num. Anal. Appl., 8:2 (2015), 113–121
Citation in format AMSBIB
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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