Optimization of Finite Rod Structures and L-Convergence
نویسنده
چکیده
Boundary value problems for partial diierential equations posed in nite rod structures 8] (connected nite unions of the thin cylinders with the ratio of the diameter to the height of the order << 1) are considered. The shape optimization problem is posed for such structures. It is solved by means of the asymptotic reduction as tends to zero and iterative numerical method of frozen uxes applied to the limite problem. R esum e-On consid ere des probl emes aux limites pour les equations aux d eriv ees partielles pos ees dans des structures nies de barres 8](c'est-a-dire la r eunion nie connexe de cylindres eel es dont le rapport du diam etre a la hauteur est d'ordre << 1). Le probl eme d'optimisation de forme est pos e pour ces structures. Il est r esolu par la m ethode de r eduction asymptotique quand tend vers z ero et par la m ethode num erique dite des ux congel es pour le probl eme limite.
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