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

SYSNO ASEP	0543693
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Parameter 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 authors	3
Source Title	Mathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754 Roč. 189, November 2021 (2021), s. 55-68
Number of pages	14 s.
Publication form	Online - E
Language	eng - English
Country	NL - Netherlands
Keywords	identification of conductivity coefficients ; optimal control of PDEs ; sensitivity analysis
Subject RIV	BA - General Mathematics
OECD category	Applied mathematics
R&D Projects	GA19-11441S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	UGN-S - RVO:68145535
UT WOS	000683684700007
EID SCOPUS	85106848556
DOI	10.1016/j.matcom.2020.06.009
Annotation	The 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.
Workplace	Institute of Geonics
Contact	Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354
Year of Publishing	2022
Electronic address	https://www.sciencedirect.com/science/article/pii/S0378475420302111

Number of the records: 1