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A quasi-reversibility approach to solve the inverse obstacle problem

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  • 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 $2D$.
    Mathematics Subject Classification: 35A15, 35N25, 35R25, 35R30,35R35, 65M60.


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