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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 10, Pages 1727–1740
DOI: https://doi.org/10.7868/S0044466915100154
(Mi zvmmf10286)
 

This article is cited in 2 scientific papers (total in 2 papers)

An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids

N. I. Kokonkov, O. V. Nikolaeva

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (500 kB) Citations (2)
References:
Abstract: A two-step iterative $\mathrm{KP}_1$ method for solving systems of grid equations that approximate the integro-differential transport equation in $\mathrm{3D}$ domains on unstructured grids using nodal $\mathrm{S_N}$ methods is described. Results of testing the efficiency of the proposed method in solving benchmark problems of reactor protection on tetrahedral grids are presented.
Key words: transport equation, $\mathrm{3D}$ unstructured grids, iterative $\mathrm{KP}_1$ and DSA methods.
Received: 27.01.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 10, Pages 1698–1712
DOI: https://doi.org/10.1134/S0965542515100140
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. I. Kokonkov, O. V. Nikolaeva, “An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1727–1740; Comput. Math. Math. Phys., 55:10 (2015), 1698–1712
Citation in format AMSBIB
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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