Answers are grounded in this paper and cite their sources.
The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a functional with respect to the creation of a small hole in the domain. In this paper such an expansion is obtained for the Helmholtz equation with a Dirichlet condition on the boundary of a circular hole. Some applications of this work to waveguide optimization are presented.
No takes yet. Share an insight, caveat, or question.
Samet et al. (2003) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: