- Tytuł:
- Optimal design of stationary flow problems by path-following interior-point methods
- Autorzy:
-
Antil, H.
Hoppe, R. H.
Linsenmann, C. - Powiązania:
- https://bibliotekanauki.pl/articles/970290.pdf
- Data publikacji:
- 2008
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
shape optimization
Stokes flow problems
path-following interior-point methods - Opis:
- We consider the numerical solution of structural optimization problems in CFD where the state variables are supposed to satisfy a linear or nonlinear Stokes system and the design variables are subject to bilateral pointwise constraints. Within a primal-dual setting, we suggest an all-at-once approach based on interior-point methods. The discretization is taken care of by Taylor-Hood elements with respect to a simplicial triangulation of the computational domain. The efficient numerical solution of the discretized problem relies on path-following techniques, namely a continuation method with an adaptive choice of the continuation step size, a long-step path-following algorithm and a nonlinear version of Mehrotra's algorithm. The performance of the suggested methods is documented by several illustrative numerical examples.
- Źródło:
-
Control and Cybernetics; 2008, 37, 4; 771-796
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł