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Journal Articles Inverse Problems and Imaging Year : 2010

A quasi-reversibility approach to solve the inverse obstacle problem

Abstract

We introduce a new approach based on the coupling of the method of quasi-reversibility and a simple level set method in order to solve the inverse obstacle problem with Dirichlet boundary condition. We provide a theoretical justification of our approach and illustrate its feasibility with the help of numerical experiments in 2D. © 2010 American Institute of Mathematical Sciences.
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hal-00873059 , version 1 (15-10-2013)

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Laurent Bourgeois, Jérémi Dardé. A quasi-reversibility approach to solve the inverse obstacle problem. Inverse Problems and Imaging , 2010, 4 (3), pp.351-377. ⟨10.3934/ipi.2010.4.351⟩. ⟨hal-00873059⟩
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