A1 Journal article (refereed)
Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals (2020)


Haslinger, Jaroslav; Blaheta, Radim; Mäkinen, Raino A. E. (2020). Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals. Mathematics and Computers in Simulation, In Press. DOI: 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: 2020

Volume: In Press

Publisher: Elsevier

Publication country: Netherlands

Publication language: English

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

Open Access: Publication channel is not openly available


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: No, publication in press


Last updated on 2020-09-07 at 23:10