Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 12, Pages 2044–2061
DOI: https://doi.org/10.7868/S0044466913120016 (Mi zvmmf9961) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Control of boundary impedance in two-dimensional material-body cloaking by the wave flow method

G. V. Alekseevab

a Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
b Far East Federal University, ul. Sukhanova 8, Vladivostok, 690600, Russia
Full-text PDF (344 kB) Citations (28)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466913120016
Abstract: Control problems are considered for a two-dimensional electromagnetic field model describing electromagnetic wave scattering in a unbounded homogeneous medium containing an anisotropic permeable inclusion with a partially covered (cloaked) boundary. The control is a function involved in the impedance boundary condition on the covered part of the boundary. The solvability of the original mixed transmission problem for the two-dimensional Helmholtz equation and of the control problems is proved. Optimality systems describing necessary extremum conditions are derived. The uniqueness and stability of optimal solutions with respect to certain perturbations of the cost functional and the incident wave are established.
Key words: Helmholtz equation, mixed transmission problem, boundary conductivity, impedance, control problem, solvability, stability estimates.
Received: 15.03.2013
Revised: 11.06.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 12, Pages 1853–1869
DOI: https://doi.org/10.1134/S0965542513120014
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: G. V. Alekseev, “Control of boundary impedance in two-dimensional material-body cloaking by the wave flow method”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013), 2044–2061; Comput. Math. Math. Phys., 53:12 (2013), 1853–1869
Citation in format AMSBIB
\Bibitem{Ale13}
\by G.~V.~Alekseev
\paper Control of boundary impedance in two-dimensional material-body cloaking by the wave flow method
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 12
\pages 2044--2061
\mathnet{http://mi.mathnet.ru/zvmmf9961}
\crossref{https://doi.org/10.7868/S0044466913120016}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3146572}
\elib{https://elibrary.ru/item.asp?id=20740320}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 12
\pages 1853--1869
\crossref{https://doi.org/10.1134/S0965542513120014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000329101600008}
\elib{https://elibrary.ru/item.asp?id=21913899}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897585243}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9961
  • https://www.mathnet.ru/eng/zvmmf/v53/i12/p2044
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024