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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1607–1618 (Mi zvmmf110)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behavior of solutions to multiplicative control problems for elliptic equations

R. V. Brizitskii, A. S. Savenkova

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
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Abstract: The problems of optimal multiplicative control for the Helmholtz equation and the diffusion equation are studied. The control function is included multiplicatively in a mixed-type boundary condition specified on the entire domain boundary or its part. For each of the models under study, an iterative method for determining an approximate solution is constructed and theoretically substantiated for sufficiently large values of the regularization parameter.
Key words: optimal control with distributed parameters, impedance, asymptotic behavior, Helmholtz equation, diffusion equation, mass transfer coefficient.
Received: 19.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1570–1580
DOI: https://doi.org/10.1134/S0965542508090078
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: R. V. Brizitskii, A. S. Savenkova, “Asymptotic behavior of solutions to multiplicative control problems for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1607–1618; Comput. Math. Math. Phys., 48:9 (2008), 1570–1580
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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