Title :
Sufficient conditions for domains optimization problems with functional depending on the gradient
Author :
Belov, Sergei ; Fujii, Nobuo
Author_Institution :
Dept. of Inf. Syst. Eng., Osaka Sangyo Univ., Japan
Abstract :
Shape optimization problems with the functional depending on the gradient and Dirichlet problem for the Poisson equation as a constraint are studied. The problem statement reflects the situation in practical shape optimization where the symmetry is often present and the optimum is not proper. Sufficient conditions for a disk to be a solution of the optimization problems with highest symmetry are given along with necessary conditions
Keywords :
boundary-value problems; functional equations; optimisation; Dirichlet problem; Poisson equation; domains optimization problems; gradient; necessary conditions; shape optimization problems; sufficient conditions; symmetry; Books; Constraint optimization; Elasticity; Information systems; Poisson equations; Shape; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650637
