# American Institute of Mathematical Sciences

August  2010, 4(3): 351-377. doi: 10.3934/ipi.2010.4.351

## A quasi-reversibility approach to solve the inverse obstacle problem

 1 Laboratoire POEMS, ENSTA, 32, Boulevard Victor, 75739 Paris Cedex 15, France

Received  May 2009 Revised  November 2009 Published  July 2010

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 $2D$.
Citation: Laurent Bourgeois, Jérémi Dardé. A quasi-reversibility approach to solve the inverse obstacle problem. Inverse Problems & Imaging, 2010, 4 (3) : 351-377. doi: 10.3934/ipi.2010.4.351
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