Estimation of unknown heat source function in inverse heat conduction problems using quantum-behaved particle swarm optimization. (English) Zbl 1219.80114
Summary: The estimation of temporal dependent heat source in transient heat conduction problem is investigated. A stochastic method known as quantum-behaved particle swarm optimization (QPSO) is used to estimate the heat source without a priori information on its functional form, which is classified as the function estimation by inverse calculation. Because of the ill-posedness of this kind of inverse problems, Tikhonov regularization method is applied in this paper to stabilize the solution. Numerical experiments indicate the validity and stability of the QPSO method. Comparison with the conjugate gradient method (CGM) is also presented in this paper.
MSC:
| 80A23 | Inverse problems in thermodynamics and heat transfer |
| 90C59 | Approximation methods and heuristics in mathematical programming |
| 90C52 | Methods of reduced gradient type |
| 65F22 | Ill-posedness and regularization problems in numerical linear algebra |
| 68T05 | Learning and adaptive systems in artificial intelligence |
Keywords:
inverse heat source; particle swarm optimization; quantum-behaved particle swarm optimization; genetic algorithm; conjugate gradient method; Tikhonov regularizationReferences:
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