%0 Conference Proceedings
%T Fixed Domain Algorithms in Shape Optimization for Stationary Navier-Stokes Equations
%+ University Politehnica of Bucharest [Romania] (UPB)
%+ Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA))
%A Halanay, Andrei
%A Murea, Cornel, Marius
%Z Part 6: Shape and Structural Optimization
%< avec comité de lecture
%( IFIP Advances in Information and Communication Technology
%B 25th System Modeling and Optimization (CSMO)
%C Berlin, Germany
%Y Dietmar Hömberg
%Y Fredi Tröltzsch
%I Springer
%3 System Modeling and Optimization
%V AICT-391
%P 378-386
%8 2011-09-12
%D 2011
%R 10.1007/978-3-642-36062-6_38
%K shape optimization
%K optimal control
%K penalization
%K approximate extension
%K gradient method
%Z Computer Science [cs]Conference papers
%X The paper aims to illustrate the algorithm developed in the paper [6] in some specific problems of shape optimization issued from fluid mechanics. Using the fictitious domain method with penalization, the fluid equations will be solved in a fixed domain. The admissible shapes are parametrized by continuous function defined in the fixed domain, then the shape optimization problem becomes an optimal control problem, where the control is the parametrization of the shape. We get the directional derivative of the cost function by solving co-state equation. Numerical results are obtained using a gradient type algorithm.
%G English
%Z TC 7
%2 https://inria.hal.science/hal-01347559/document
%2 https://inria.hal.science/hal-01347559/file/978-3-642-36062-6_38_Chapter.pdf
%L hal-01347559
%U https://inria.hal.science/hal-01347559
%~ IFIP
%~ IFIP-AICT
%~ IFIP-TC
%~ IFIP-TC7
%~ IFIP-CSMO
%~ IFIP-AICT-391
%~ SITE-ALSACE