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


Zh. Vychisl. Mat. Mat. Fiz., 2020, Volume 60, Number 1, Pages 18–28 (Mi zvmmf11011)  

Application of the fast automatic differentiation technique for solving inverse coefficient problems

A. F. Albuab, Yu. G. Evtushenkoab, V. I. Zubovab

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Abstract: Results obtained by the authors in solving inverse coefficient problems are overviewed. The inverse problem under consideration is to determine a temperature-dependent thermal conductivity coefficient from experimental observations of the temperature field in the studied substance and (or) the heat flux on the surface of the object. The study is based on the Dirichlet boundary value problem for the nonstationary heat equation stated in the general $n$-dimensional formulation. For this general case, an analytical expression for the cost functional gradient is obtained. The features of solving the inverse problem and the difficulties encountered in the solution process are discussed.

Key words: heat conduction, inverse coefficient problems, gradient, heat equation, numerical algorithm.

Funding Agency Grant Number
Russian Foundation for Basic Research 20-01-00307а
20-07-00385а
This work was supported in part by the Russian Science Foundation, project no. 20-11-20081.


DOI: https://doi.org/10.31857/S0044466920010056


English version:
Computational Mathematics and Mathematical Physics, 2020, 60:1, 15–25

Bibliographic databases:

UDC: 533.6.011.5
Received: 18.06.2019
Revised: 18.06.2019
Accepted:18.09.2019

Citation: A. F. Albu, Yu. G. Evtushenko, V. I. Zubov, “Application of the fast automatic differentiation technique for solving inverse coefficient problems”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020), 18–28; Comput. Math. Math. Phys., 60:1 (2020), 15–25

Citation in format AMSBIB
\Bibitem{AlbEvtZub20}
\by A.~F.~Albu, Yu.~G.~Evtushenko, V.~I.~Zubov
\paper Application of the fast automatic differentiation technique for solving inverse coefficient problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2020
\vol 60
\issue 1
\pages 18--28
\mathnet{http://mi.mathnet.ru/zvmmf11011}
\crossref{https://doi.org/10.31857/S0044466920010056}
\elib{https://elibrary.ru/item.asp?id=41806914}
\transl
\jour Comput. Math. Math. Phys.
\yr 2020
\vol 60
\issue 1
\pages 15--25
\crossref{https://doi.org/10.1134/S0965542520010042}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000521749800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85082622356}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf11011
  • http://mi.mathnet.ru/eng/zvmmf/v60/i1/p18

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:17

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021