- Tytuł:
- Fast level set based algorithms using shape and topological sensitivity information
- Autorzy:
- Hintermuller, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/970129.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
algorytm opadania
metoda Newtona
analiza wrażliwości
optymalizacja kształtu
optymalizacja topologiczna
descent algorithm
level set method
Newton method
sensitivity analysis
shape optimization
topology optimization - Opis:
- A framework for descent algorithms using shape as well as topological sensitivity information is introduced. The concept of gradient-related descent velocities in shape optimization is defined, a corresponding algorithmic approach is developed, and a convergence analysis is provided. It is shown that for a particular choice of the bilinear form involved in the definition of gradient-related directions a shape Newton method can be obtain. The level set methodology is used for representing and updating the geometry during the iterations. In order to include topological changes in addition to merging and splitting of existing geometries, a descent algorithm based on topological sensitivity is proposed. The overall method utilizes the shape sensitivity and topological sensitivity based methods in a serial fashion. Finally, numerical results are presented.
- Źródło:
-
Control and Cybernetics; 2005, 34, 1; 305-324
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł