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
Abstract
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
