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Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals

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    SYSNO ASEP0543693
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleParameter identification for heterogeneous materials by optimal control approach with flux cost functionals
    Author(s) Haslinger, Jaroslav (UGN-S)
    Blaheta, Radim (UGN-S) RID, SAI, ORCID
    Mäkinen, R. A. E. (FI)
    Number of authors3
    Source TitleMathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754
    Roč. 189, November 2021 (2021), s. 55-68
    Number of pages14 s.
    Publication formOnline - E
    Languageeng - English
    CountryNL - Netherlands
    Keywordsidentification of conductivity coefficients ; optimal control of PDEs ; sensitivity analysis
    Subject RIVBA - General Mathematics
    OECD categoryApplied mathematics
    R&D ProjectsGA19-11441S GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportUGN-S - RVO:68145535
    UT WOS000683684700007
    EID SCOPUS85106848556
    DOI10.1016/j.matcom.2020.06.009
    AnnotationThe paper deals with the identification of material parameters characterizing components in heterogeneous geocomposites provided that the interfaces separating different materials are known. We use the optimal control approach with flux type cost functionals. Since solutions to the respective state problems are not regular, in general, the original cost functionals are expressed in terms of integrals over the computational domain using the Green formula. We prove the existence of solutions to the optimal control problem and establish convergence results for appropriately defined discretizations. The rest of the paper is devoted to computational aspects, in particular how to handle high sensitivity of the problem on the accuracy of data gained by measurements.
    WorkplaceInstitute of Geonics
    ContactLucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354
    Year of Publishing2022
    Electronic addresshttps://www.sciencedirect.com/science/article/pii/S0378475420302111
Number of the records: 1