On the detection of several obstacles in 2d stokes flow: topological sensitivity and combination with shape derivatives
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Date
2016Metadata
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Caubet, Fabien
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On the detection of several obstacles in 2d stokes flow: topological sensitivity and combination with shape derivatives
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Abstract
We consider the inverse problem of detecting the location and the
shape of several obstacles immersed in a
uid
owing in a larger bounded
domain
from partial boundary measurements in the two dimensional case.
The
uid
ow is governed by the steady-state Stokes equations. We use a
topological sensitivity analysis for the Kohn-Vogelius functional in order to nd
the number and the qualitative location of the objects. Then we explore the
numerical possibilities of this approach and also present a numerical method
which combines the topological gradient algorithm with the classical geometric
shape gradient algorithm; this blending method allows to nd the number of
objects, their relative location and their approximate shape.
Patrocinador
Ecos-Conicyt Grant
C13E05
PFBasal-01 project
PFBasal-03 project
Fondecyt
1140773
CONICYT-PCHA/Doctorado National
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