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, 2011, Volume 51, Number 5, Pages 814–833 (Mi zvmmf9334)  
This article is cited in 11 scientific papers (total in 11 papers)

Functional gradient evaluation in the optimal control of a complex dynamical system

A. V. Albu, A. F. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (317 kB) Citations (11)
References:
PDF
HTML
Abstract: The gradient of the cost functional in a discrete optimal control problem for metal solidification in metal casting is exactly calculated. In contrast to previous studies, the object under analysis has a complex geometric shape. The mathematical model for describing the solidification process is based on a three-dimensional two-phase initial–boundary value problem of the Stefan type. Formulas for exact gradient evaluation are derived using the fast automatic differentiation technique.
Key words: heat equation, metal solidification, Stefan problem, optimal control problem, fast automatic differentiation, adjoint optimal control problem.
Received: 17.11.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 5, Pages 762–780
DOI: https://doi.org/10.1134/S0965542511050034
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. V. Albu, A. F. Albu, V. I. Zubov, “Functional gradient evaluation in the optimal control of a complex dynamical system”, Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011), 814–833; Comput. Math. Math. Phys., 51:5 (2011), 762–780
Citation in format AMSBIB
\Bibitem{AlbAlbZub11}
\by A.~V.~Albu, A.~F.~Albu, V.~I.~Zubov
\paper Functional gradient evaluation in the optimal control of a~complex dynamical system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2011
\vol 51
\issue 5
\pages 814--833
\mathnet{http://mi.mathnet.ru/zvmmf9334}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2859147}
\transl
\jour Comput. Math. Math. Phys.
\yr 2011
\vol 51
\issue 5
\pages 762--780
\crossref{https://doi.org/10.1134/S0965542511050034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000290935800007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79957528110}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9334
  • https://www.mathnet.ru/eng/zvmmf/v51/i5/p814
    • This publication is cited in the following 11 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
    Statistics & downloads:
    Abstract page:610
    Full-text PDF :370
    References:74
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024