Title :
The topological derivative method in shape optimization
Author :
Jackowska-Strumillo, Lidia ; Sokolowski, Jan ; Zochowski, Antoni
Author_Institution :
Dept. of Comput. Eng., Tech. Univ. Lodz, Poland
Abstract :
The topological derivative (TD) of a shape functional is introduced previously and evaluated for shape functionals depending on solutions of elliptic equations including the Laplace equation and the elasticity system. TD allows us to obtain the new optimality conditions for shape optimization problems. The applications of TD include optimal control problems and numerical methods for shape inverse problems
Keywords :
elasticity; elliptic equations; optimal control; optimisation; Laplace equation; elasticity system; elliptic equations; numerical methods; optimal control problems; optimality conditions; shape functionals; shape inverse problems; shape optimization; topological derivative method; Differential equations; Elasticity; Electronic mail; Inverse problems; Laplace equations; Optimal control; Optimization methods; Partial differential equations; Shape control; Topology;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832864
