Naslov
Multiple state optimal design problems with random perturbation

Autori
Vrdoljak, Marko

Izvornik
Electronic journal of differential equations (1072-6691) 2018 (2018), 59; 1-10

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

Ključne riječi
Stationary diffusion ; optimal design ; Homogenization ; Random perturbation ; Optimality conditions

Sažetak
A multiple state optimal design problem with presence of uncer- tainty on the right-hand side is considered, in the context of stationary diffusion with two isotropic phases. A similar problem with one state equation has al- ready been considered by Buttazzo and Maestre (2011). We shall address the question of relaxation by the homogenization method and necessary conditions of optimality. The case of discrete probability space leads to another multi- ple state problem (possibly with an infinite number of states), which could be treated by similar techniques to those presented in Allaire (2002) and Vrdoljak (2010). The relaxation can be expressed in a simpler form for problems with spherical symmetry in the case of minimization (or maximization) of averaged energy, and we present an example which can be solved explicitly.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA