Počet záznamů: 1
Identification problems with given material interfaces
- 1.
SYSNO ASEP 0482339 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Identification problems with given material interfaces Tvůrce(i) Haslinger, Jaroslav (UGN-S)
Blaheta, Radim (UGN-S) RID, SAI, ORCID
Hrtus, Rostislav (UGN-S)Celkový počet autorů 3 Zdroj.dok. Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 310, January 2017 (2017), s. 129-142Poč.str. 14 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova identification of conductivity coefficients ; control of systems by coefficients of PDE ; algebraic sensitivity analysis ; scalarization technique ; pumping test Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP ED1.1.00/02.0070 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy LQ1602 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 UT WOS 000384780400011 EID SCOPUS 84978792064 DOI 10.1016/j.cam.2016.06.023 Anotace 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.Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2018 Elektronická adresa http://www.sciencedirect.com/science/article/pii/S0377042716302953
Počet záznamů: 1