OPTIMIZATION OF FINITE ROD STRUCTURES AND L-CONVERGENCE

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Abstract

ABSTRACT

Boundary value problems for partial differential equations posed for finite rod structures (i.e., connected finite unions of thin cylinders such that the ratio of their diameter to the height is of order μ ≪ 1; see [8]) are considered. A shape optimization problem is posed for such structures. This problem is solved by an asymptotic reduction (as μ tends to zero) and by an iterative numerical method of frozen fluxes that is applied to the limit problem.

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