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Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2013, Volume 13, Issue 3, Pages 113–121 (Mi vngu159)  

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

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.

Full text: PDF file (208 kB)
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English version:
Journal of Mathematical Sciences, 2015, 205:3, 464–472

UDC: 519.632
Received: 14.03.2012

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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  • Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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