% Encoding: UTF-8
@COMMENT{BibTeX export based on data in FAU CRIS: https://cris.fau.de/}
@COMMENT{For any questions please write to cris-support@fau.de}
@article{faucris.286938922,
abstract = {We consider Helmholtz problems in two and three dimensions. The topological sensitivity of a given cost function J(uϵ) with respect to a small hole Bϵ around a given point x0 ϵ Bϵ ⊂ ω depends on various parameters, like the frequency k chosen or certain material parameters or even the shape parameters of the hole Bϵ. These parameters are either deliberately chosen in a certain range, as, e.g., the frequencies, or are known only up to some bounds. The problem arises as to whether one can obtain a uniform design using the topological gradient. We show that for 2-d and 3-d Helmholtz problems such a robust design is achievable.},
author = {Leugering, Günter and Novotny, Antonio André and Sokolowski, Jan},
doi = {10.2478/candc-2022-0015},
faupublication = {yes},
journal = {Control and Cybernetics},
keywords = {complex variables; Helmholtz problem; inverse problems; numerical methods; shape optimization; topological derivative},
note = {CRIS-Team Scopus Importer:2022-12-23},
pages = {227-248},
peerreviewed = {Yes},
title = {{On} the robustness of the topological derivative for {Helmholtz} problems and applications},
volume = {51},
year = {2022}
}