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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 3, Pages 113–121 (Mi vngu159)  
This article is cited in 1 scientific paper (total in 1 paper)

Exact Constantes of Energy Equivalence in the Method of Recalculation Boundary Conditiones for 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
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Abstract: The iterative algorithm with economical preconditioner for numerical solution of elastic problem in approximation of plate theory with mixed boundary condition proposed and grounded. Exact constantes of energy equivalence for optimization of iteration method are obtained. Inversion of preconditioner is equivalent to double inversion of discrete analog of Laplace operator with Dirichlet boundary condition.
Keywords: biharmonic equation, boundary conditiones, iterative method, Poisson's equation, plate, free edge.
Received: 14.03.2012
English version:
Journal of Mathematical Sciences, 2015, Volume 205, Issue 3, Pages 464–472
DOI: https://doi.org/10.1007/s10958-015-2260-5
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “Exact Constantes of Energy Equivalence in the Method of Recalculation Boundary Conditiones for Biharmonic Equation”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:3 (2013), 113–121; J. Math. Sci., 205:3 (2015), 464–472
Citation in format AMSBIB
\Bibitem{Sor13}
\by S.~B.~Sorokin
\paper Exact Constantes of Energy Equivalence in the Method of Recalculation Boundary Conditiones for Biharmonic Equation
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 3
\pages 113--121
\mathnet{http://mi.mathnet.ru/vngu159}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 205
\issue 3
\pages 464--472
\crossref{https://doi.org/10.1007/s10958-015-2260-5}
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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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