Level-set function approach to an inverse interface problem

  title={Level-set function approach to an inverse interface problem},
  author={Kazufumi Ito and Karl Kunisch and Zhilin Li},
Abstract A model problem in electrical impedance tomography for the identification of unknown shapes from data in a narrow strip along the boundary of the domain is investigated. The representation of the shape of the boundary and its evolution during an iterative reconstruction process is achieved by the level set method. The shape derivatives of this problem involve the normal derivative of the potential along the unknown boundary. Hence an accurate resolution of its derivatives along the… CONTINUE READING


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