A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois; Jérémi Dardé

doi:10.3934/ipi.2010.4.351

A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois
, Jérémi Dardé

Laboratoire POems UMR 7231 CNRS-INRIA-ENSTA, ENSTA-UMA
UPMC Université de Paris VI

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	351-377
Nombre de pages	27
journal	Inverse Problems and Imaging
Volume	4
Numéro de publication	3
Les DOIs	https://doi.org/10.3934/ipi.2010.4.351
état	Publié - 1 août 2010

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title = "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.",

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KW - Method of quasi-reversibility

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A quasi-reversibility approach to solve the inverse obstacle problem

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