Crack identification for transient heat operator by using domain decomposition method

This work deals with cracks identification from over-determined boundary data. The consideration physical phenomena corresponds to the transient heat equation. we give a theoretical result of identifiability for the inverse problem under consideration. Then, we consider a recovering process based on coupling domain decomposition method and minimizing an energy-type error functional. The efficiency of the proposed approach is illustrated by several numerical results.

Keywords:

Inverse problem, crack, identifiability, transient heat equation, ill-posed problem, Cauchy problem domain decomposition, virtual control,

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