Zhilin Li
(Center For Research in Scientific Computation & Mathematics,
North Carolina State University)
Shape Identification via the Level Set Method
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 unknown interface is
essential. It is obtained by the immersed interface method.
This is a joint work with K. Ito (NCSU) and K. Kunisch (Univ. of Glaz,
Austria)
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