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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 10, Pages 1643–1655
DOI: https://doi.org/10.31857/S004446692010004X
(Mi zvmmf11140)
 

This article is cited in 8 scientific papers (total in 8 papers)

General numerical methods

Choice of finite-difference schemes in solving coefficient inverse problems

A. F. Albu, Yu. G. Evtushenko, V. I. Zubov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia
Citations (8)
References:
Abstract: Various choices of a finite-difference scheme for approximating the heat diffusion equation in solving a three-dimensional coefficient inverse problem were studied. A comparative analysis was conducted for several alternating direction schemes, such as locally one-dimensional, Douglas–Rachford, and Peaceman–Rachford schemes, as applied to nonlinear problems for the three-dimensional heat equation with temperature-dependent coefficients. Each numerical method was used to compute the temperature distribution inside a parallelepiped. The methods were compared in terms of the accuracy of the resulting solution and the computation time required for achieving the prescribed accuracy on a computer.
Key words: nonlinear problems, three-dimensional heat equation, numerical methods, alternating direction schemes.
Received: 31.01.2020
Revised: 21.03.2020
Accepted: 09.06.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 10, Pages 1589–1600
DOI: https://doi.org/10.1134/S0965542520100048
Bibliographic databases:
Document Type: Article
UDC: 533.6.011.5
Language: Russian
Citation: A. F. Albu, Yu. G. Evtushenko, V. I. Zubov, “Choice of finite-difference schemes in solving coefficient inverse problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1643–1655; Comput. Math. Math. Phys., 60:10 (2020), 1589–1600
Citation in format AMSBIB
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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