A1 Journal article (refereed)
Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals (2021)

Haslinger, J., Blaheta, R., & Mäkinen, R. A. E. (2021). Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals. Mathematics and Computers in Simulation, 189, 55-68. https://doi.org/10.1016/j.matcom.2020.06.009

JYU authors or editors

Publication details

All authors or editors: Haslinger, Jaroslav; Blaheta, Radim; Mäkinen, Raino A. E.

Journal or series: Mathematics and Computers in Simulation

ISSN: 0378-4754

eISSN: 1872-7166

Publication year: 2021

Volume: 189

Pages range: 55-68

Publisher: Elsevier

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1016/j.matcom.2020.06.009

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/77398


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.

Keywords: partial differential equations; control theory; mathematical optimisation; numerical analysis; composites

Free keywords: identification of conductivity coefficients; optimal control of PDEs; sensitivity analysis

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 1

Last updated on 2022-20-09 at 13:48