Naslov
Optimal design and hyperbolic problems

Autori
Antonić, Nenad ; Vrdoljak, Marko

Izvornik
Mathematical communications (1331-0623) 4 (1999); 121-129

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
Quite often 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

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