Hrvatska znanstvena bibliografija (CROSBI)



Pregled bibliografske jedinice broj: 465775

Zbornik radova

Autori: Vrdoljak, Marko
Naslov: Relaxation of inverse problems by homogenisation method
Izvornik: Applied Mathematics and Scientific Computing / Rogina, Mladen (ur.). - Zagreb :
Skup: Applied Mathematics and Scientific Computing
Mjesto i datum: Zadar, Hrvatska, 14-18.09.2009
Ključne riječi: inverse problems; homogenisation; optimality criteria method
Sažetak:
We study the inverse problem of identifying the arrangement of two given isotropic materials such that the measurements at the boundary, or at the final time for evolution problems, are achieved. The proposed approach can be used for stationary diffusion equation, as well as for the wave or the heat equation, but with coefficients depending only on space variables. We interpret the inverse problem as an optimal design problem and use the homogenisation method as the relaxation tool, which enables us to use standard variational techniques for obtaining necessary conditions of optimality. These conditions are used as the basis for the optimality criteria method, which is the most used numerical method for optimal design problems. The update of design parameters in this iterative method is based on the recent results on multiple state optimal design problems.
Vrsta sudjelovanja: Predavanje
Vrsta prezentacije u zborniku: Sažetak
Vrsta recenzije: Međunarodna recenzija
Projekt / tema: 037-1193086-3226
Izvorni jezik: ENG
Kategorija: Znanstveni
Znanstvena područja:
Matematika
Upisao u CROSBI: markov@math.hr (markov@math.hr), 8. Tra. 2010. u 12:03 sati