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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1. Different components of the estimation error and residual analysis

1.1 Estimation error

Whatever the type of inverse problem being addressed, the inverter looks for a parameter vectorx [in the case of parameter estimation, otherwise it may be a function x (t ) at time t], from datay.

It also has a model, i.e. a function η such as ymo=η(x) corresponding to these data. This function η represents the structure of the model and is assumed to be known in the direct...

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Different components of the estimation error and residual analysis