Article | REF: BE8267 V2

Inverse problems in heat diffusion . Specific tools of inverse conduction and regularization

Authors: Denis MAILLET, Yvon JARNY, Daniel PETIT

Publication date: July 10, 2018

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4. Error due to parameters assumed to be known and Bayesian approach

4.1 Classic approach

In parameter estimation, the inverter doesn't usually search for all the parameters present in the model. Instead, it often has reference values for a number of them. These values may come from the literature, for certain physical properties for example, or from the design of the geometry of the experiment envisaged, such as the planned position of the sensors. These parameters present in the model but not estimated in the inversion, the parameters assumed to be known, can be arranged in a column vectorx sc while the parameters sought constitute the components of another column vector x r . It is therefore possible to construct two sensitivity matrices S ...

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Error due to parameters assumed to be known and Bayesian approach