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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 4, Pages 608–624
DOI: https://doi.org/10.31857/S0044466921040086 (Mi zvmmf11225) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

Boundary element method for solving an inhomogeneous biharmonic equation with a right-hand side containing the unknown function and its derivatives

R. F. Mardanov, A. E. Mardanova

Kazan (Volga Region) Federal University
Citations (1)
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DOI: https://doi.org/10.31857/S0044466921040086
Abstract: A boundary element method is proposed for solving an inhomogeneous biharmonic equation with a right-hand side containing the sought function and its derivatives. The accuracy of numerical results obtained for a test problem is analyzed by comparing them with its analytical solution. The flow through a porous medium with a nonuniform permeability distribution based on the Brinkman model is computed.
Key words: biharmonic equation, boundary element method, porous media flow, Brinkman model, nonuniform permeability.
Funding agency Grant number
Program of development of the Regional scientific and educational mathematical center of the Volga Federal District 075-02-2020-1478
This work was prepared within the program of development of the Regional scientific and educational mathematical center of the Volga Federal District, contract no. 075-02-2020-1478.
Received: 23.01.2020
Revised: 23.01.2020
Accepted: 16.12.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 4, Pages 591–606
DOI: https://doi.org/10.1134/S0965542521040084
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: R. F. Mardanov, A. E. Mardanova, “Boundary element method for solving an inhomogeneous biharmonic equation with a right-hand side containing the unknown function and its derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 608–624; Comput. Math. Math. Phys., 61:4 (2021), 591–606
Citation in format AMSBIB
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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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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