Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals

0543693 - ÚGN 2022 RIV NL eng J - Journal Article
Haslinger, Jaroslav - Blaheta, Radim - Mäkinen, R. A. E.
Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals.
Mathematics and Computers in Simulation. Roč. 189, November 2021 (2021), s. 55-68. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR(CZ) GA19-11441S
EU Projects: European Commission(XE) 847593 - EURAD
Institutional support: RVO:68145535
Keywords : identification of conductivity coefficients * optimal control of PDEs * sensitivity analysis
OECD category: Applied mathematics
Impact factor: 3.601, year: 2021
Method of publishing: Limited access
https://www.sciencedirect.com/science/article/pii/S0378475420302111

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.
Permanent Link: http://hdl.handle.net/11104/0320872