Crack identification for transient heat operator by using domain decomposition method

Year 2017, Volume: 5 Issue: 3, 208 - 226, 01.07.2017

Anis Bel Hadj Hassin Sinda Khalfallah

Abstract

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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