Naslov
Optimality criteria method for multiple state optimal design problems

Autori
Vrdoljak, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Partial differential equations, optimal design and numerics

Mjesto i datum
Benasque, Španjolska, 25.08.2013. - 05.09.2013

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
homogenisation; optimal design

Sažetak
In multiple state optimal design problems, one is trying to find the best arrangement of given materials, such that the obtained body has some optimal properties regarding m different regimes. Starting with the stationary diffusion setting, from necessary conditions of optimality one is able to gain some important information on optimal design, e.g.~existence of an optimal design among sequential laminates. Moreover, some calculations have important application to the optimality criteria method for numerical solution. In this iterative algorithm, the presented results enable one to calculate explicitly the update of design variables, similar to the problems with one state equation. Therefore, its implementation is simple, showing nice convergence results on a number of examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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