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Identification problems with given material interfaces
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SYSNO ASEP 0482339 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Identification problems with given material interfaces Author(s) Haslinger, Jaroslav (UGN-S)
Blaheta, Radim (UGN-S) RID, SAI, ORCID
Hrtus, Rostislav (UGN-S)Number of authors 3 Source Title Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 310, January 2017 (2017), s. 129-142Number of pages 14 s. Publication form Online - E Language eng - English Country NL - Netherlands Keywords identification of conductivity coefficients ; control of systems by coefficients of PDE ; algebraic sensitivity analysis ; scalarization technique ; pumping test Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects ED1.1.00/02.0070 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000384780400011 EID SCOPUS 84978792064 DOI 10.1016/j.cam.2016.06.023 Annotation This paper is devoted to the identification of coefficients in scalar elliptic partial differential
equations using an optimal control approach. The coefficients usually can be interpreted
as material characteristics and play the role of the control variable. The paper focuses on
processes in domains which can be split into a finite number of materially homogeneous
subdomains, i.e. the coefficients to be identified are piecewise constant on them. In
addition, we assume that the material interfaces are a priori known.Weprove the existence
of at least one solution of the optimal control problem for a large class of cost functionals
and show that solutions can be obtained as limits of solutions to the problems which
are governed by finite element discretizations of the state equations. Further, the unified
algebraic sensitivity analysis of the first and the second order for several least squares type
cost functions is investigated. Finally, a model problem of the identification of coefficients
characterizing hydraulic conductivity by pumping tests in groundwater flow modeling is
numerically solved using the sequential approach and the scalarization technique.Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address http://www.sciencedirect.com/science/article/pii/S0377042716302953
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