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, 2008, Volume 48, Number 2, Pages 297–308 (Mi zvmmf185)  
This article is cited in 4 scientific papers (total in 4 papers)

Optimal control problem for steady-state equations of acoustic wave diffraction

L. V. Illarionova

Computer Center, Far East Division, Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk, 680000, Russia
Full-text PDF (1212 kB) Citations (4)
References:
PDF
HTML
Abstract: An optimal control problem is considered for the steady-state equations of acoustic wave diffraction caused by a three-dimensional inclusion in an unbounded homogeneous medium. The task is to minimize the $L^2$-deviation of the pressure field inside the inclusion from a certain prescribed value due to changing the field sources in the external medium. The solvability of the problem is proved. A solution algorithm is proposed, and its convergence is proved.
Key words: steady-state equations of acoustic wave diffraction, optimal control problem, numerical method of solution, algorithm convergence proof.
Received: 20.04.2007
Revised: 22.08.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 284–294
DOI: https://doi.org/10.1007/s11470-008-2011-5
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: L. V. Illarionova, “Optimal control problem for steady-state equations of acoustic wave diffraction”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 297–308; Comput. Math. Math. Phys., 48:2 (2008), 284–294
Citation in format AMSBIB
\Bibitem{Ill08}
\by L.~V.~Illarionova
\paper Optimal control problem for steady-state equations of acoustic wave diffraction
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2008
\vol 48
\issue 2
\pages 297--308
\mathnet{http://mi.mathnet.ru/zvmmf185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2426465}
\zmath{https://zbmath.org/?q=an:05282423}
\transl
\jour Comput. Math. Math. Phys.
\yr 2008
\vol 48
\issue 2
\pages 284--294
\crossref{https://doi.org/10.1007/s11470-008-2011-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262227700011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41549141263}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf185
  • https://www.mathnet.ru/eng/zvmmf/v48/i2/p297
    • This publication is cited in the following 4 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, 2025