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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 7, Pages 1253–1267
DOI: https://doi.org/10.31857/S0044466924070108 (Mi zvmmf11790) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Partial Differential Equations

On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential

I. E. Stepanovaa, I. I. Kolotovb, A. G. Yagolab, A. N. Levashovb

a Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, 123242, Moscow, Russia
b Lomonosov Moscow State University, 119992, Moscow, Russia
Full-text PDF Citations (3)
DOI: https://doi.org/10.31857/S0044466924070108
Abstract: The paper examines the problem of unique determination of the fundamental solution of a mesh analogue of Laplace’s equation within the theory of discrete gravitational potential. The mesh fundamental solution of the finite-difference analogue of Laplace’s equation plays a key role in reconstructing a continuously distributed source of gravitational or magnetic field from heterogeneous and different-precision data obtained at points of a certain mesh set.
Key words: unique determination, fundamental solution, discrete gravitational potential.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was carried out as part of a state assignment of the Schmidt Institute of Physical Sciences, Russian Academy of Sciences.
Received: 13.03.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 7, Pages 1523–1536
DOI: https://doi.org/10.1134/S0965542524700696
Bibliographic databases:
Document Type: Article
UDC: 550.83+550.81
Language: Russian
Citation: I. E. Stepanova, I. I. Kolotov, A. G. Yagola, A. N. Levashov, “On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1253–1267; Comput. Math. Math. Phys., 64:7 (2024), 1523–1536
Citation in format AMSBIB
\Bibitem{SteKolYag24}
\by I.~E.~Stepanova, I.~I.~Kolotov, A.~G.~Yagola, A.~N.~Levashov
\paper On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 7
\pages 1253--1267
\mathnet{http://mi.mathnet.ru/zvmmf11790}
\crossref{https://doi.org/10.31857/S0044466924070108}
\elib{https://elibrary.ru/item.asp?id=75206874}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 7
\pages 1523--1536
\crossref{https://doi.org/10.1134/S0965542524700696}
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  • https://www.mathnet.ru/eng/zvmmf/v64/i7/p1253
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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