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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 2, Pages 205–213 (Mi sjvm436)  
This article is cited in 7 scientific papers (total in 7 papers)

Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation

S. B. Sorokinab

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (177 kB) Citations (7)
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Abstract: The iterative algorithm for the numerical solution of the biharmonic equation with the first kind boundary conditions (a clamped plate) is investigated. At every step of this iterative method it is necessary to solve two Dirichlet problems for Poisson's equation. Constants of energy equivalence for the optimization of the iterative method have been obtained.
Key words: biharmonic equation, boundary conditions, iterative method, Poisson's equation, clamped plate, free edge.
Received: 22.06.2010
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 2, Pages 167–174
DOI: https://doi.org/10.1134/S1995423911020078
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation”, Sib. Zh. Vychisl. Mat., 14:2 (2011), 205–213; Num. Anal. Appl., 4:2 (2011), 167–174
Citation in format AMSBIB
\Bibitem{Sor11}
\by S.~B.~Sorokin
\paper Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 2
\pages 205--213
\mathnet{http://mi.mathnet.ru/sjvm436}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 2
\pages 167--174
\crossref{https://doi.org/10.1134/S1995423911020078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79957804452}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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