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Journal of Computational and Engineering Mathematics, 2023, Volume 10, Issue 3, Pages 3–16
DOI: https://doi.org/10.14529/jcem230301 (Mi jcem240) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

Method of iterative extensions for analysis of a screened harmonic systems

M. P. Eremchuk, A. L. Ushakov

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (263 kB) Citations (1)
DOI: https://doi.org/10.14529/jcem230301
Abstract: In this paper, mixed boundary value problem for screened Poisson equation is considered in a geometrically complex domain. The asymptotically optimal method of iterative extensions is described. An analysis of screened harmonic system is carried out with the method of iterative extensions. An algorithm is written that implements the method of iterative extensions in matrix form. An example of calculating the bending of a membrane on an elastic base is given.
Keywords: fictitious domain method, method of iterative extensions, screened harmonic systems, screened Poisson equation.
Received: 17.07.2023
Document Type: Article
UDC: 519.6
MSC: 65N85
Language: English
Citation: M. P. Eremchuk, A. L. Ushakov, “Method of iterative extensions for analysis of a screened harmonic systems”, J. Comp. Eng. Math., 10:3 (2023), 3–16
Citation in format AMSBIB
\Bibitem{EreUsh23}
\by M.~P.~Eremchuk, A.~L.~Ushakov
\paper Method of iterative extensions for analysis of a screened harmonic systems
\jour J. Comp. Eng. Math.
\yr 2023
\vol 10
\issue 3
\pages 3--16
\mathnet{http://mi.mathnet.ru/jcem240}
\crossref{https://doi.org/10.14529/jcem230301}
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