Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2015, Issue 1, Pages 64–74 (Mi vspui229)  
This article is cited in 1 scientific paper (total in 1 paper)

Applied mathematics

Adaptive method for solving boundary value problems for the Poisson equation with rapidly changing potential

N. V. Ovsiannikov

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation
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Abstract: The adaptive grid method is used for solving boundary value problem for the Poisson equation. This method can significantly reduce the number of grid nodes in case of a drastic change of desired solution in some sub-regions of the computational domain. This article describes general criteria for evaluation of the sub-domains with a drastic change in the solution, and the algorithm for constructing a Cartesian grid with local refinement in accordance with specified criteria. Bibliogr. 25. Il. 5. Tables 2.
Keywords: Poisson's equation, adaptive grid method.
Received: November 13, 2014
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: N. V. Ovsiannikov, “Adaptive method for solving boundary value problems for the Poisson equation with rapidly changing potential”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, no. 1, 64–74
Citation in format AMSBIB
\Bibitem{Ovs15}
\by N.~V.~Ovsiannikov
\paper Adaptive method for solving boundary value problems for the Poisson equation with rapidly changing potential
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2015
\issue 1
\pages 64--74
\mathnet{http://mi.mathnet.ru/vspui229}
\elib{https://elibrary.ru/item.asp?id=22988793}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:104
    Full-text PDF :39
    References:19
    First page:7
     
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