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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 2, Pages 101–107
DOI: https://doi.org/10.17377/sibjim.2018.21.209 (Mi sjim1003) 		 
This article is cited in 7 scientific papers (total in 7 papers)

An economical algorithm for numerical solution of the problem of identifying the right-hand side of the Poisson equation

S. B. Sorokinab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Akad. Lavrentyev av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
Full-text PDF (206 kB) Citations (7)
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DOI: https://doi.org/10.17377/sibjim.2018.21.209
Abstract: We propose two economical algorithms for numerical solution of the problem of identifying the right-hand side of the Poisson equation from information on the solution on the boundary of the domain. Both algorithms are based on the method of separation of variables. The method is presented on a discrete level. We use the nonuniform grids along one of the coordinates. There are possible applications for operators with variable coefficients of a special kind.
Keywords: inverse problem, identification of the right-hand side, Poisson equation, economical algorithm, elliptic equation, difference scheme, separation of variables.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1.3
15
Received: 10.10.2017
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 2, Pages 362–368
DOI: https://doi.org/10.1134/S1990478918020163
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “An economical algorithm for numerical solution of the problem of identifying the right-hand side of the Poisson equation”, Sib. Zh. Ind. Mat., 21:2 (2018), 101–107; J. Appl. Industr. Math., 12:2 (2018), 362–368
Citation in format AMSBIB
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\by S.~B.~Sorokin
\paper An economical algorithm for numerical solution of the problem of identifying the right-hand side of the Poisson equation
\jour Sib. Zh. Ind. Mat.
\yr 2018
\vol 21
\issue 2
\pages 101--107
\mathnet{http://mi.mathnet.ru/sjim1003}
\crossref{https://doi.org/10.17377/sibjim.2018.21.209}
\elib{https://elibrary.ru/item.asp?id=35459106}
\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 2
\pages 362--368
\crossref{https://doi.org/10.1134/S1990478918020163}
\elib{https://elibrary.ru/item.asp?id=35513384}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047815189}
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  • https://www.mathnet.ru/eng/sjim/v21/i2/p101
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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