Optimal heat distributions by a gradient-based shape optimization method

• Autorzy: Belhachmi Z. , Meftahi B. , Meftahi H.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

heat conduction; shape optimization; sensitivity analysis; minimax differentiability

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2018
• Tom: Vol. 47, no. 1
• Strony: 33--53
• Opis fizyczny: Bibliogr. 27 poz., rys., tab.

Twórcy

autor

Belhachmi Z.

• Mathematics, Information Technology and Applications Laboratory (LMIA, EA 3993), 4 rue des Fr`eres Lumi`ere, 68093 Mulhouse cedex, France

autor

Meftahi B.

• Department of Mathematics ENIT of Tunisia, Tunisia

autor

Meftahi H.

• Department of Mathematics ENIT of Tunisia, Tunisia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).