Naslov
Optimal design and hyperbolic problems

Autori
Antonić, Nenad ; Vrdoljak, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Applied Mathematics and Computation, KOI'98 98. / Aganović, Ibrahim et al. - : Hrvatsko društvo za sustave (CROSS), 1998, 57-58

Skup
Applied Mathematics and Computation, KOI'98

Mjesto i datum
Rovinj, Hrvatska, 30.09.1998. - 02.10.1998

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
optimal design; homogenisation; relaxation; H-convergence; stratified materials

Sažetak
Quite often the practical problems of optimal design have no solution. This situation can be alleviated by relaxation, where one needs generalised materials which can mathematically be defined by using the theory of homogenisation. First mathematical results in this direction for general (nonperiodic) materials were obtained by Murat and Tartar. We present some results in optimal design where the equation of state is hyperbolic. The control function is related to the response of vibrating material under the given external force. As the problem under consideration has no solution, we consider its relaxation to H-closure of the original set of controls.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA