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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 625–638
DOI: https://doi.org/10.7868/S0044466916040104 (Mi zvmmf10371) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form

A. A. Kashirin, S. I. Smagin, M. Taltykina

Computer Centre of Far Eastern Branch RAS
Full-text PDF (586 kB) Citations (11)
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DOI: https://doi.org/10.7868/S0044466916040104
Abstract: Interior and exterior three-dimensional Dirichlet problems for the Helmholtz equation are solved numerically. They are formulated as equivalent boundary Fredholm integral equations of the first kind and are approximated by systems of linear algebraic equations, which are then solved numerically by applying an iteration method. The mosaic-skeleton method is used to speed up the solution procedure.
Key words: Dirichlet problem, Helmholtz equation, integral equation, fast method, mosaic-skeleton method, incomplete cross approximation.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00781_а
Far Eastern Branch of the Russian Academy of Sciences 15-I-4-075
This work was supported by the Russian Foundation for Basic Research (project no. 14-01-00781) and by the Far East Branch of the Russian Academy of Sciences (basic research program, project 15-I-4-075).
Received: 18.05.2015
Revised: 02.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 612–625
DOI: https://doi.org/10.1134/S0965542516040096
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. A. Kashirin, S. I. Smagin, M. Taltykina, “Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 625–638; Comput. Math. Math. Phys., 56:4 (2016), 612–625
Citation in format AMSBIB
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