A quasi-reversibility approach to solve the inverse obstacle problem

Laurent Bourgeois, Jérémi Dardé

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)351-377
Number of pages27
JournalInverse Problems and Imaging
Volume4
Issue number3
DOIs
Publication statusPublished - 1 Aug 2010

Keywords

  • Inverse obstacle problem
  • Level set method
  • Method of quasi-reversibility

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