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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 1038–1046 (Mi zvmmf4889)  
This article is cited in 12 scientific papers (total in 12 papers)

Inverse extremal problems for the Maxwell equations

R. V. Brizitskiĭ, A. S. Savenkova

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivistok, 690041 Russia
Full-text PDF (267 kB) Citations (12)
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Abstract: The problem is studied of recovering the impedance function involved multiplicatively in boundary conditions for Maxwell’s equations. The inverse problem is reduced to an extremum one. The solvability of the extremum problem is proved, an optimality system is derived, and sufficient conditions for the local uniqueness and stability of its solution are established.
Key words: Maxwell’s equations, inverse problem of impedance recovery, optimal control problem, uniqueness, stability.
Received: 24.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 6, Pages 984–992
DOI: https://doi.org/10.1134/S0965542510060060
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: R. V. Brizitskiǐ, A. S. Savenkova, “Inverse extremal problems for the Maxwell equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 1038–1046; Comput. Math. Math. Phys., 50:6 (2010), 984–992
Citation in format AMSBIB
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    • This publication is cited in the following 12 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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