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Parameter identification of temperature equationin stratum and its algorithm

机译:地层温度方程参数识别及其算法

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In this paper, we consider the problem of identifying the thermal parameters in the temperature equation form some measured data, Based on the results given in papers [1] and [2], the optimal necessary conditions of the problem are presented. According to the Gateaux gradient of the cost functional with respect to the parameters, a dconditional gradient algorithm is constructed. Then the uniform continuity of the Gateaux gradient and convergence for the algorithm is proved. Finally, the numerical implementation is given and the result profiles are shown in the figures.
机译:在本文中,我们考虑了识别温度方程中的热参数的问题,其基于论文[1]和[2]中的结果,提出了最佳的必要条件。根据对参数的成本函数的Gateaux梯度,构建了一种DConditional梯度算法。然后证明了Gateaux梯度和算法收敛的均匀连续性。最后,给出了数值实现,并且在附图中示出了结果配置文件。

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