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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 2, Pages 230–244
DOI: https://doi.org/10.31857/S0044466923020114 (Mi zvmmf11510) 		 
This article is cited in 2 scientific papers (total in 2 papers)

General numerical methods

Improved quadrature formula for a single-layer potential

P. A. Krutitskiia, I. O. Reznichenkob

a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
b Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466923020114
Abstract: An improved quadrature formula is derived for a single-layer potential with a smooth density given on a closed or open surface. The formula ensures a uniform approximation of the potential near the surface and preserves the continuity of the potential as the observation point tends to the surface from inside the domain. These properties are confirmed by numerical tests. For the potential computed near the surface, the present quadrature formula yields higher accuracy than previously known quadrature rules, which is also confirmed by numerical tests. Additionally, a quadrature formula for the direct value of the single-layer potential on the surface is derived. Numerical tests conducted with this formula confirm its efficiency and accuracy.
Key words: single-layer potential, quadrature formula, uniform approximation.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-283
Reznichenko’s research was supported by the Moscow Center for Fundamental and Applied Mathematics, agreement no. 075-15-2022-283 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 05.05.2022
Revised: 19.05.2022
Accepted: 04.08.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 2, Pages 187–201
DOI: https://doi.org/10.1134/S0965542523020100
Bibliographic databases:
Document Type: Article
UDC: 517.956.224
Language: Russian
Citation: P. A. Krutitskii, I. O. Reznichenko, “Improved quadrature formula for a single-layer potential”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 230–244; Comput. Math. Math. Phys., 63:2 (2023), 187–201
Citation in format AMSBIB
\Bibitem{KruRez23}
\by P.~A.~Krutitskii, I.~O.~Reznichenko
\paper Improved quadrature formula for a single-layer potential
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 2
\pages 230--244
\mathnet{http://mi.mathnet.ru/zvmmf11510}
\crossref{https://doi.org/10.31857/S0044466923020114}
\elib{https://elibrary.ru/item.asp?id=50435450}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 2
\pages 187--201
\crossref{https://doi.org/10.1134/S0965542523020100}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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