Mohamed Abdelwahed, Montassar Barhoumi, Nejmeddine Chorfi
Abstract:
We use the topological sensitivity analysis method
to solve various optimization problems.
It consists of studying the asymptotic expansion of the objective
function relative to a perturbation of the domain topology.
This expansion becomes insufficient in some applications when it is
limited to the first order topological derivative.
We present a new topological sensitivity analysis for the Stokes equations
based on a high order asymptotic expansion. The derived result is valid
for different class of shape functions.
Submitted February 27, 2016. Published June 20, 2016.
Math Subject Classifications: 35A15, 35B25, 35B40, 49K40.
Key Words: Stokes equations; topology optimization; sensitivity analysis;
topological derivative; high order asymptotic expansion.
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Mohamed Abdelwahed Department of Mathematics College of Sciences, King Saud University Riyadh, Saudi Arabia email: mabdelwahed@ksu.edu.sa |
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Montassar Barhoumi Department of Mathematics ESSTHS, Sousse University, Tunisia email: montassar.barhoumi2014@gmail.com |
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Nejmeddine Chorfi Department of Mathematics College of Sciences, King Saud University Riyadh, Saudi Arabia email: nchorfi@ksu.edu.sa |
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