- Tytuł:
- On the robustness of the topological derivative for Helmholtz problems and applications
- Autorzy:
-
Leugering, Günter
Novotny, Antonio André
Sokolowski, Jan - Powiązania:
- https://bibliotekanauki.pl/articles/2183490.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
topological derivative
shape optimization
inverse problems
Helmholtz problem
numerical methods
complex variables - Opis:
- We consider Helmholtz problems in two and three dimensions. The topological sensitivity of a given cost function J(uɛ) with respect to a small hole Bɛ around a given point x0ɛ ∈ Bɛ ⊂ Ω depends on various parameters, like the frequency k chosen or certain material parameters or even the shape parameters of the hole Bɛ. 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.
- Źródło:
-
Control and Cybernetics; 2022, 51, 2; 227--248
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł