A modified genetic algorithm for solving the inverse heat transfer problem of estimating plan heat source. (English) Zbl 1148.80371

Liu, Fung-Bao

Int. J. Heat Mass Transfer 51, No. 15-16, 3745-3752 (2008).

Summary: This work considers a new approach for solving the inverse heat conduction problem of estimating unknown plan heat source. It is shown that the physical heat transfer problem can be formulated as an optimization problem with differential equation constraints. A modified genetic algorithm is developed for solving the resulting optimization problem. The proposed algorithm provides a global optimum instead of a local optimum of the inverse heat transfer problem with highly-improved convergence performance. Some numerical results are presented to demonstrate the accuracy and efficiency of the proposed method.

MSC:

80A23	Inverse problems in thermodynamics and heat transfer
80M25	Other numerical methods (thermodynamics) (MSC2010)
80M50	Optimization problems in thermodynamics and heat transfer
90C29	Multi-objective and goal programming

Keywords:

inverse problem; genetic algorithm; fitness function

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