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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 8, Pages 1321–1330
DOI: https://doi.org/10.7868/S0044466917080051
(Mi zvmmf10602)
 

This article is cited in 3 scientific papers (total in 3 papers)

A hybrid method for numerical solution of Poisson’s equation in a domain with a dielectric corner

A. N. Bogolyubov, A. I. Erokhin, I. E. Mogilevskii, M. Svetkin

Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (487 kB) Citations (3)
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Abstract: An electrostatic problem of determining a potential in a domain containing an incoming dielectric corner, which reduces to solving Poisson’s equation in this domain, is considered. A specific feature of the solution of this problem is that it is bounded in a neighborhood of the dielectric corner but its gradient increases without limit. An efficient hybrid algorithm for the numerical solution of the problem, based on the finite element method and taking into account the known asymptotic representation of the solution in the neighborhood of the dielectric corner, is proposed.
Key words: Poisson's equation, dielectric corner, finite element method.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00690_а
16-31-60084_мол_а_дк
15-01-03524_а
Received: 16.06.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 8, Pages 1310–1319
DOI: https://doi.org/10.1134/S096554251708005X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. N. Bogolyubov, A. I. Erokhin, I. E. Mogilevskii, M. Svetkin, “A hybrid method for numerical solution of Poisson’s equation in a domain with a dielectric corner”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1321–1330; Comput. Math. Math. Phys., 57:8 (2017), 1310–1319
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v57/i8/p1321
  • This publication is cited in the following 3 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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    Abstract page:260
    Full-text PDF :67
    References:40
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