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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

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

This article is cited 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

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.

UDC: 519.632

Received: 14.03.2012


 English version:
Journal of Mathematical Sciences, 2015, 205:3, 464–472


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