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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 3, Pages 267–274 (Mi sjvm516)  
This article is cited in 4 scientific papers (total in 4 papers)

Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a 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 (387 kB) Citations (4)
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Abstract: An iterative algorithm with an efficient preconditioner for the numerical solution of an elastic problem in approximation of plate theory with mixed boundary conditions is proposed and substantiated. Exact constants of energy equivalence for optimization of iteration method are obtained. Inversion of the preconditioner is equivalent to the double inversion of a discrete analog of the Laplace operator with the Dirichlet boundary conditions.
Key words: biharmonic equation, boundary conditions, iterative method, Poisson's equation, plate, Dirichlet problem.
Received: 15.03.2012
Revised: 04.05.2012
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 3, Pages 229–235
DOI: https://doi.org/10.1134/S1995423913030063
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: S. B. Sorokin, “Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a biharmonic equation”, Sib. Zh. Vychisl. Mat., 16:3 (2013), 267–274; Num. Anal. Appl., 6:3 (2013), 229–235
Citation in format AMSBIB
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\by S.~B.~Sorokin
\paper Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a~biharmonic equation
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 3
\pages 267--274
\mathnet{http://mi.mathnet.ru/sjvm516}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380127}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 3
\pages 229--235
\crossref{https://doi.org/10.1134/S1995423913030063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884167709}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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