Identification problems with given material interfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482339" target="_blank" >RIV/68145535:_____/17:00482339 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0377042716302953" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042716302953</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2016.06.023" target="_blank" >10.1016/j.cam.2016.06.023</a>

Result language
angličtina
Original language name
Identification problems with given material interfaces
Original language description
This paper is devoted to the identification of coefficients in scalar elliptic partial differentialnequations using an optimal control approach. The coefficients usually can be interpretednas material characteristics and play the role of the control variable. The paper focuses onnprocesses in domains which can be split into a finite number of materially homogeneousnsubdomains, i.e. the coefficients to be identified are piecewise constant on them. Innaddition, we assume that the material interfaces are a priori known.Weprove the existencenof at least one solution of the optimal control problem for a large class of cost functionalsnand show that solutions can be obtained as limits of solutions to the problems whichnare governed by finite element discretizations of the state equations. Further, the unifiednalgebraic sensitivity analysis of the first and the second order for several least squares typencost functions is investigated. Finally, a model problem of the identification of coefficientsncharacterizing hydraulic conductivity by pumping tests in groundwater flow modeling isnnumerically solved using the sequential approach and the scalarization technique.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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