On the Inverse Emerging Plane Crack ProblemReport as inadecuate




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1 MOSTRA - Numerical Modeling of Smart Materials and Adaptive Structures Inria Paris-Rocquencourt

Abstract : This paper deals with the detection of emerging plane cracks, by using boundary measurements. An identifiability result uniqueness of the solution is first proved. Then, we look at the stability of this solution with respect to the measurement. A weak stability result is proved, as well as a local Lipshitz stability result for straight cracks, by using domain-derivative techniques.

Keywords : LIPSCHITZ STABILITY IDENTIFIABILITY STABILITY GEOMETRICAL INVERSE PROBLEMS CRACK DETECTION





Author: Stéphane Andrieux Amel Ben Abda Mohamed Jaoua -

Source: https://hal.archives-ouvertes.fr/



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