Volume 52, Issue 4
Optimization of Current Carrying Muticables using Topological and Shape Sensitivity

Zakaria Belhachmi ,  Belhassen Meftahi and Houcine Meftahi

10.4208/jms.v52n4.19.04

J. Math. Study, 52 (2019), pp. 425-447.

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  • Abstract

In this paper, we use the topological and shape gradient framework, to optimize a current carrying multicables. The geometry of the multicables is modeled as a coated inclusions with different conductivities and the problem we are interested is the location of the inclusions to get a suitable thermal environnent. We solve numerically the optimization problem using topological and shape gradient strategy. Finally, we present some numerical experiments.


  • History

Published online: 2019-12

  • AMS Subject Headings

49Q10, 49Q12, 65K10, 68W25

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