A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois; Jérémi Dardé

doi:10.3934/ipi.2010.4.351

Journal articles

A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois ¹ Jérémi Dardé ^{1, 2}

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231

2 LJLL - Laboratoire Jacques-Louis Lions

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.

Keywords : inverse obstacle problem method of quasi-reversibility level set method

Document type :

Journal articles

Domain :

Mathematics [math] / Numerical Analysis [math.NA]

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https://hal-ensta-paris.archives-ouvertes.fr//hal-00873059
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Submitted on : Tuesday, October 15, 2013 - 5:31:11 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM

A quasi-reversibility approach to solve the inverse obstacle problem

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