Perturbative methods in thermal imaging
19/01/2017 Thursday 19th January 2017, 14:30 (Room P3.10, Mathematics Building)
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Gabriele Inglese, CNR  Ist. Applic. Calcolo (Firenze, Italy)
I will discuss shortly three different inverse problems in the field of thermal nondestructive testing. In all cases we have a thin metallic plate $\Omega_0$ whose top boundary $S_{top}$ is not accessible while we are able to operate on the opposite surface $S_{bot}$. We heat the specimen by applying a heat flux of density $\phi$ on $S_{bot}$ and measure a sequence of temperature maps.
Problem 1. Recover a perturbation of the heat transfer coefficient on $S_{top}$. [Inglese, Olmi  2017]
Problem 2. Recover a surface damage on the inaccessible side $S_{top}$. [Inglese, Olmi  in progress]
Problem 3. Recover a nonlinear heat transfer coefficient on $S_{top}$. [Clarelli, Inglese  2016]
