Parallel genetic algorithms for the solution of inverse heat conduction problems. (English) Zbl 1116.65110
Summary: A parallel genetic algorithm (PGA) is proposed for the solution of two-dimensional inverse heat conduction problems involving unknown thermophysical material properties. Experimental results show that the proposed PGA is a feasible and effective optimization tool for inverse heat conduction problems.
MSC:
65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |
35K05 | Heat equation |
35R30 | Inverse problems for PDEs |
65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
65Y05 | Parallel numerical computation |
90C15 | Stochastic programming |
References:
[1] | Stolz G. J., ASME Journal of Heat Transfer 82 pp 20– (1960) · doi:10.1115/1.3679871 |
[2] | Yu C., Journal of Engineering Thermophysics 3 pp 372– (1982) |
[3] | Yang G. Z., Journal of Computational Physics 140 pp 432– (1998) · Zbl 0926.65097 · doi:10.1006/jcph.1998.5893 |
[4] | Sampath R., International Journal for Numerical Methods in Engineering 48 pp 239– (2000) · Zbl 0964.65105 · doi:10.1002/(SICI)1097-0207(20000520)48:2<239::AID-NME877>3.0.CO;2-F |
[5] | Louis A. K., Inverse Problems in Engineering, Theory and Practice pp 367– (1998) |
[6] | Yang G. Z., Journal of Computational Physics 140 pp 432– (1998) |
[7] | Andre D., Journal of Information Science 106 pp 201– (1998) · doi:10.1016/S0020-0255(97)10011-1 |
[8] | Sun J., Network Parallel Computing (1997) |
[9] | Guo, Q., Parker, Y., Xiao, J. and Parkinson, D. Performance evaluation of PVM on PC-LAN distributed computing. Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA 2000). Vol. 4, pp.1947–1953. |
[10] | Shao C., Journal of Nanjing Institute of Posts and Telecommunications 17 pp 98– (1997) |
[11] | Jiang H., Chinese Journal of High Pressure Physics 12 pp 47– (1998) |
[12] | Guo Q., Journal of Computer Science and Technology 15 pp 355– (2000) · Zbl 0960.65105 · doi:10.1007/BF02948871 |
[13] | Guo Q. P., DCABES 2004 Proceedings pp 298– (2004) |
[14] | Guo Q., High Performance Computing and Networking Proceedings 1823 pp 568– (2000) · doi:10.1007/3-540-45492-6_64 |
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