4. Examples of incorrectly posed inverse problems
4.1 A simple case of inversion: stationary 1D conduction in a plane wall. Example 1
Here we consider the problem of permanent unidirectional heat transfer in a homogeneous wall. We know the exact temperature T e on the face x = e and we measure the temperature y from a sensor implanted at a depth x c in the medium. Using these two pieces of information and knowing the exact values of the conductivity λ and the thickness e of the wall, we seek to estimate (figure 6 a ) :
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Examples of incorrectly posed inverse problems
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