화학공학소재연구정보센터
SIAM Journal on Control and Optimization, Vol.43, No.1, 1-31, 2004
Topological sensitivity and shape optimization for the Stokes equations
The topological sensitivity analysis provides an asymptotic expansion of a shape function with respect to the insertion of a small hole or obstacle inside a domain. This expansion can then be used for shape optimization. In this paper, such an expansion is obtained for the Stokes equations with general shape functions and arbitrarily shaped holes. A numerical example illustrates the use of the topological sensitivity in a shape optimization problem.