Asymptotic Models for the Topological Sensitivity Versus the Topological Derivative
Ivan Ivanovich Argatov · The Open Applied Mathematics Journal · 2008
An approach, based on the refined method of matched asymptotic expansions, is proposed for the construction of asymptotic models for the topological sensitivity of the energy functional with respect to the creation of a small hole in the geometrical domain.It is shown that the asymptotic model provides more information for calculations than the topological derivative.