应用混合优化算法求解一类热传导反问题

热传导反问题具有非线性,不适定性等特点,研究方法很多,但通常方法很难较好地接近全局最优.在遗传算法的基础上,研究了基于遗传算法+梯度法的混合优化算法求解一类热传导反问题.具体介绍依据目标函数如何利用上述的算法寻找最优参数组合.进行了大量仿真实验,结果显示在解决热传导反问题优化问题中,混合优化算法性能优越,具有良好的收敛性和快速性.

Solving a inverse heat conduction problem based on composite optimization algorithm

The inverse heat conduction problem is nonlinear and ill-posed. There are a lot of methods to use, but ordinary methods are hard to be at the holistic best point. Purpose is to study the application of composite optimization algorithm in a kind of inverse heat conduction problem on the ground of genetic algorithm and how to use the above algorithm based on the objective function to seek the best parameter combination is introduced. The massive experiments are carried out. The results show that in the solution inverse heat conduction problem optimization question, composite optimization algorithm performed well and has good astringency and speediness. Keywords: genetic algorithm; inverse problem; composite optimization