Optimum composite material design

On traite ici le probleme d'identification de microstructures: certaines phases a certains pourcentages en volume etant donnees, comment les melanger dans une cellule de periodicite, de maniere que les constantes effectives du materiau periodique soient les plus proches possibles de valeurs donnees. On etudie le probleme dans le cas de l'equation de conduction lineaire, qui est pose en termes de la theorie du controle optimal. On montre l'existence d'une solution ainsi que la convergence d'approximation numerique.

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