- Tytuł:
- Optimal heat distributions by a gradient-based shape optimization method
- Autorzy:
-
Belhachmi, Z.
Meftahi, B.
Meftahi, H. - Powiązania:
- https://bibliotekanauki.pl/articles/206300.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
heat conduction
shape optimization
sensitivity analysis
minimax differentiability - Opis:
- In this paper, we consider the problem of locating coated inclusions in a 2D dimensional conductor material in order to obtain a suitable thermal environment. The mathematical model is described by elliptic partial differential equation with linear boundary condition, including heat transfer coefficient. A shape optimization problem is formulated by introducing a cost functional to solve the problem under consideration. The shape sensitivity analysis is rigorously performed for the problem by means of a Lagrangian formulation. The optimization problem is solved by means of gradient-based strategy and numerical experiments are carried out to demonstrate the feasibility of the approach.
- Źródło:
-
Control and Cybernetics; 2018, 47, 1; 33-53
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł