Geodesic
Topological sensitivity analysis for time-dependent problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 3, pp. 427-455

Voir la notice de l'article provenant de la source Numdam

MR

The topological sensitivity analysis consists in studying the behavior of a given shape functional when the topology of the domain is perturbed, typically by the nucleation of a small hole. This notion forms the basic ingredient of different topology optimization/reconstruction algorithms. From the theoretical viewpoint, the expression of the topological sensitivity is well-established in many situations where the governing p.d.e. system is of elliptic type. This paper focuses on the derivation of such formulas for parabolic and hyperbolic problems. Different kinds of cost functionals are considered.

DOI : 10.1051/cocv:2007059
Classification : 49Q10, 49Q12, 35K05, 35L05
Keywords: topological sensitivity, topology optimization, parabolic equations, hyperbolic equations 
Vexler, Boris; Takahashi, Takéo; Amstutz, Samuel. Topological sensitivity analysis for time-dependent problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 3, pp. 427-455. doi: 10.1051/cocv:2007059
@article{COCV_2008__14_3_427_0,
     author = {Vexler, Boris and Takahashi, Tak\'eo and Amstutz, Samuel},
     title = {Topological sensitivity analysis for time-dependent problems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {427--455},
     year = {2008},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {3},
     doi = {10.1051/cocv:2007059},
     mrnumber = {2434060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007059/}
}
TY  - JOUR
AU  - Vexler, Boris
AU  - Takahashi, Takéo
AU  - Amstutz, Samuel
TI  - Topological sensitivity analysis for time-dependent problems
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2008
SP  - 427
EP  - 455
VL  - 14
IS  - 3
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007059/
DO  - 10.1051/cocv:2007059
LA  - en
ID  - COCV_2008__14_3_427_0
ER  - 
%0 Journal Article
%A Vexler, Boris
%A Takahashi, Takéo
%A Amstutz, Samuel
%T Topological sensitivity analysis for time-dependent problems
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2008
%P 427-455
%V 14
%N 3
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007059/
%R 10.1051/cocv:2007059
%G en
%F COCV_2008__14_3_427_0

Cité par Sources :