Skip to Main content Skip to Navigation
Journal articles

An introduction to the topological asymptotic expansion with examples

Abstract : To find an optimal domain is equivalent to look for Its characteristic function. At first sight this problem seems to be nondifferentiable. But it is possible to derive the variation of a cost function when we switch the characteristic function from 0 to 1 or from 1 to 0 a small area. Classical and two generalized adjoint approaches are considered in this paper. Their domain of validity is given and Illustrated by several examples. Using this gradient type Information, It is possible to build fast algorithms. Generally, only one Iteration Is needed to find the optimal shape.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-01263433
Contributor : Coordination Episciences Iam <>
Submitted on : Tuesday, April 12, 2016 - 8:53:50 AM
Last modification on : Wednesday, June 9, 2021 - 10:00:07 AM
Long-term archiving on: : Wednesday, July 13, 2016 - 10:27:39 AM

File

arima00517.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01263433, version 1

Citation

Jérôme Fehrenbach, Mohamed Masmoudi. An introduction to the topological asymptotic expansion with examples. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.230-255. ⟨hal-01263433⟩

Share

Metrics

Record views

445

Files downloads

728