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Inverse
Problem
of
corrosion
detection
We are studying the
numerical
solution of a particular inverse
problem which consists in the
detection of hidden corrosion in an unobservable
surface of a material object, whose geometry and material properties
are known. Since the corrosion
is not directly measurable, we estimate it using a
nondestructive
infrared thermographic inspection. The a priori
knowledge
about the material object allows us to use a physical-mathematical
model based on the heat equation to support the estimate. Given a
suitable parametrization of the corrosion geometric profile, the
mathematical problem consists in estimating the corroded model domain,
starting from the reference (healthy) one.
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