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On the Inverse Emerging Plane Crack Problem

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.
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https://hal.inria.fr/inria-00073682
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 1:30:04 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:54:39 PM

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  • HAL Id : inria-00073682, version 1

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Stéphane Andrieux, Amel Ben Abda, Mohamed Jaoua. On the Inverse Emerging Plane Crack Problem. [Research Report] RR-3012, INRIA. 1996. ⟨inria-00073682⟩

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