- Tytuł:
- Dynamic programming approach to structural optimization problem - numerical algorithm
- Autorzy:
-
Fulmański, P.
Nowakowski, A.
Pustelnik, J. - Powiązania:
- https://bibliotekanauki.pl/articles/255706.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
elliptic equations
optimal shape control
structural optimization
stationary Navier-Stokes equations
dynamic programming
sufficient optimality condition
numerical approximation - Opis:
- In this paper a new shape optimization algorithm is presented. As a model application we consider state problems related to fluid mechanics, namely the Navier-Stokes equations for viscous incompressible fluids. The general approach to the problem is described. Next, transformations to classical optimal control problems are presented. Then, the dynamic programming approach is used and sufficient conditions for the shape optimization problem are given. A new numerical method to find the approximate value function is developed.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 4; 699-724
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł