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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 3, Pages 480–491 (Mi zvmmf8085)  
This article is cited in 15 scientific papers (total in 16 papers)

Model of real-time active noise shielding of a given subdomain subject to external noise sources

V. S. Ryaben'kii

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
Full-text PDF (849 kB) Citations (16)
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Abstract: A linear one-dimensional problem is considered, which is interpreted as a mathematical model of sound propagation. Additional sound sources are constructed that shield a given subdomain from sound sources localized in an additional subdomain without changing the solution in the additional subdomain. A complicating point in the problem is that the desired shielding sources can be constructed at the current time as based only on information about the shielded process that has become available by this current time. In an important special case, information in a convenient form is derived via noise exploration introduced in this work.
Key words: nonstationary problems, noise shielding, control of sound propagation, difference potential method.
Received: 05.02.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 3, Pages 444–454
DOI: https://doi.org/10.1134/S0965542511030092
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. S. Ryaben'kii, “Model of real-time active noise shielding of a given subdomain subject to external noise sources”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 480–491; Comput. Math. Math. Phys., 51:3 (2011), 444–454
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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