Abstract The identification of the spatio-temporal variations of a heat flux density field is addressed in this paper. The developed technique combines the use of reduced models (BERM method) with an iterative method of conjugate gradient descent, for which the gradient is estimated by the adjoint method. The application relates to the identification of the heat flux received by a brake pad in a braking situation, for which the mechanical deformation and the phenomena of wear cause the appearance of hot spots that one seeks to locate. The use of two different Branch bases, one for the temperature field and the other for the heat flux, enable to identify rapidly the time-space variation of the heat flux, without any hypothesis on the spatial form on it.

中文翻译：

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使用简化模型的热通量密度的时空识别。应用于刹车片

摘要 本文讨论了热通量密度场时空变化的识别问题。所开发的技术将简化模型（BERM 方法）的使用与共轭梯度下降的迭代方法相结合，通过伴随方法估计梯度。该申请涉及在制动情况下由制动衬块接收的热通量的识别，为此，机械变形和磨损现象导致人们试图定位的热点的出现。使用两种不同的分支基，一种用于温度场，另一种用于热通量，可以快速识别热通量的时空变化，而无需对其空间形式进行任何假设。