用遗传算法求解多维导热反问题

Solution of Multi-Dimensional Inverse Heat Conduction Problem Using Genetic Algorithm

将遗传算法引入了导热反问题的研究中,建立了用遗传算法求解多维导热反问题的数学模型。通过数值模拟,对本算法的可行性和有效性进行了验证,并讨论了观测点数目对求解精度的影响,给出了观测点数目的选取方法。结果表明,此法是可行的、有效的,并具有较高的精度。本方法应用的唯一前提是与反问题相应的正问题可解。

Genetic algorithm was applied to the research of multi-dimensional inverse heat conduction problem, and a valid mathematic model was presented. By the numerical simulation, the practicability and the availability of the method were verified, and the influence of the number of observation points on the solution precision was discussed, and the selection method of the number of observation points was presented. The results showed that the method was practicable with high precision. The only precondition using the method is that the corresponding direct problem shall be solved.